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Finding the Third Proportional to 71,645,913 and 155,455,920

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Solution

The third proportional to 71,645,913 and 155,455,920 is: 337,305,256.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,645,913 : 155,455,920 = 155,455,920 : x
  2. Step 2: Convert to fraction form
    71,645,913/155,455,920 = 155,455,920/x
  3. Step 3: Cross multiply
    71,645,913x = 155,455,920 × 155,455,920
  4. Step 4: Simplify right side
    71,645,913x = 24,166,543,063,046,400
  5. Step 5: Solve for x
    x = 24,166,543,063,046,400/71,645,913
  6. Step 6: Final answer
    x = 337,305,256.52

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.