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Finding the Third Proportional to 71,170,398 and 155,392,812

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Solution

The third proportional to 71,170,398 and 155,392,812 is: 339,283,279.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,170,398 : 155,392,812 = 155,392,812 : x
  2. Step 2: Convert to fraction form
    71,170,398/155,392,812 = 155,392,812/x
  3. Step 3: Cross multiply
    71,170,398x = 155,392,812 × 155,392,812
  4. Step 4: Simplify right side
    71,170,398x = 24,146,926,021,267,344
  5. Step 5: Solve for x
    x = 24,146,926,021,267,344/71,170,398
  6. Step 6: Final answer
    x = 339,283,279.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.