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Finding the Third Proportional to 138,163,098 and 297,848,460

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Solution

The third proportional to 138,163,098 and 297,848,460 is: 642,094,064.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,163,098 : 297,848,460 = 297,848,460 : x
  2. Step 2: Convert to fraction form
    138,163,098/297,848,460 = 297,848,460/x
  3. Step 3: Cross multiply
    138,163,098x = 297,848,460 × 297,848,460
  4. Step 4: Simplify right side
    138,163,098x = 88,713,705,124,371,600
  5. Step 5: Solve for x
    x = 88,713,705,124,371,600/138,163,098
  6. Step 6: Final answer
    x = 642,094,064.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.