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Finding the Third Proportional to 71,402,715 and 155,481,515

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Solution

The third proportional to 71,402,715 and 155,481,515 is: 338,565,578.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,402,715 : 155,481,515 = 155,481,515 : x
  2. Step 2: Convert to fraction form
    71,402,715/155,481,515 = 155,481,515/x
  3. Step 3: Cross multiply
    71,402,715x = 155,481,515 × 155,481,515
  4. Step 4: Simplify right side
    71,402,715x = 24,174,501,506,695,224
  5. Step 5: Solve for x
    x = 24,174,501,506,695,224/71,402,715
  6. Step 6: Final answer
    x = 338,565,578.45

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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.