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Finding the Third Proportional to 645,715.55 and 1,407,687.61

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Solution

The third proportional to 645,715.55 and 1,407,687.61 is: 3,068,819.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,715.55 : 1,407,687.61 = 1,407,687.61 : x
  2. Step 2: Convert to fraction form
    645,715.55/1,407,687.61 = 1,407,687.61/x
  3. Step 3: Cross multiply
    645,715.55x = 1,407,687.61 × 1,407,687.61
  4. Step 4: Simplify right side
    645,715.55x = 1,981,584,405,587.90
  5. Step 5: Solve for x
    x = 1,981,584,405,587.90/645,715.55
  6. Step 6: Final answer
    x = 3,068,819.41

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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.