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Finding the Third Proportional to 71,117,984 and 155,157,780

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Solution

The third proportional to 71,117,984 and 155,157,780 is: 338,507,018.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,117,984 : 155,157,780 = 155,157,780 : x
  2. Step 2: Convert to fraction form
    71,117,984/155,157,780 = 155,157,780/x
  3. Step 3: Cross multiply
    71,117,984x = 155,157,780 × 155,157,780
  4. Step 4: Simplify right side
    71,117,984x = 24,073,936,694,528,400
  5. Step 5: Solve for x
    x = 24,073,936,694,528,400/71,117,984
  6. Step 6: Final answer
    x = 338,507,018.06

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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.