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Finding the Third Proportional to 461,639.25 and 690,613.59

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Solution

The third proportional to 461,639.25 and 690,613.59 is: 1,033,159.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,639.25 : 690,613.59 = 690,613.59 : x
  2. Step 2: Convert to fraction form
    461,639.25/690,613.59 = 690,613.59/x
  3. Step 3: Cross multiply
    461,639.25x = 690,613.59 × 690,613.59
  4. Step 4: Simplify right side
    461,639.25x = 476,947,135,872.29
  5. Step 5: Solve for x
    x = 476,947,135,872.29/461,639.25
  6. Step 6: Final answer
    x = 1,033,159.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.