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Finding the Third Proportional to 636,585.75 and 920,614.13

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Solution

The third proportional to 636,585.75 and 920,614.13 is: 1,331,368.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    636,585.75 : 920,614.13 = 920,614.13 : x
  2. Step 2: Convert to fraction form
    636,585.75/920,614.13 = 920,614.13/x
  3. Step 3: Cross multiply
    636,585.75x = 920,614.13 × 920,614.13
  4. Step 4: Simplify right side
    636,585.75x = 847,530,367,149.52
  5. Step 5: Solve for x
    x = 847,530,367,149.52/636,585.75
  6. Step 6: Final answer
    x = 1,331,368.74

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.