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Finding the Third Proportional to 83,916,000 and 129,600,720

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Solution

The third proportional to 83,916,000 and 129,600,720 is: 200,156,664.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,916,000 : 129,600,720 = 129,600,720 : x
  2. Step 2: Convert to fraction form
    83,916,000/129,600,720 = 129,600,720/x
  3. Step 3: Cross multiply
    83,916,000x = 129,600,720 × 129,600,720
  4. Step 4: Simplify right side
    83,916,000x = 16,796,346,624,518,400
  5. Step 5: Solve for x
    x = 16,796,346,624,518,400/83,916,000
  6. Step 6: Final answer
    x = 200,156,664.10

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.