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Finding the Third Proportional to 129,737.53 and 280,798.10

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Solution

The third proportional to 129,737.53 and 280,798.10 is: 607,746.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,737.53 : 280,798.10 = 280,798.10 : x
  2. Step 2: Convert to fraction form
    129,737.53/280,798.10 = 280,798.10/x
  3. Step 3: Cross multiply
    129,737.53x = 280,798.10 × 280,798.10
  4. Step 4: Simplify right side
    129,737.53x = 78,847,573,841.10
  5. Step 5: Solve for x
    x = 78,847,573,841.10/129,737.53
  6. Step 6: Final answer
    x = 607,746.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.