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Finding the Third Proportional to 929,848,248,602 and 1,443,728,677,027

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Solution

The third proportional to 929,848,248,602 and 1,443,728,677,027 is: 2,241,605,010,284.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    929,848,248,602 : 1,443,728,677,027 = 1,443,728,677,027 : x
  2. Step 2: Convert to fraction form
    929,848,248,602/1,443,728,677,027 = 1,443,728,677,027/x
  3. Step 3: Cross multiply
    929,848,248,602x = 1,443,728,677,027 × 1,443,728,677,027
  4. Step 4: Simplify right side
    929,848,248,602x = 2,084,352,492,870,131,559,432,192
  5. Step 5: Solve for x
    x = 2,084,352,492,870,131,559,432,192/929,848,248,602
  6. Step 6: Final answer
    x = 2,241,605,010,284.09

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.