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Finding the Third Proportional to 77,119,848 and 112,724,262

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Solution

The third proportional to 77,119,848 and 112,724,262 is: 164,766,393.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,119,848 : 112,724,262 = 112,724,262 : x
  2. Step 2: Convert to fraction form
    77,119,848/112,724,262 = 112,724,262/x
  3. Step 3: Cross multiply
    77,119,848x = 112,724,262 × 112,724,262
  4. Step 4: Simplify right side
    77,119,848x = 12,706,759,243,444,644
  5. Step 5: Solve for x
    x = 12,706,759,243,444,644/77,119,848
  6. Step 6: Final answer
    x = 164,766,393.78

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.