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Finding the Third Proportional to 284,934 and 615,540

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Solution

The third proportional to 284,934 and 615,540 is: 1,329,744.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,934 : 615,540 = 615,540 : x
  2. Step 2: Convert to fraction form
    284,934/615,540 = 615,540/x
  3. Step 3: Cross multiply
    284,934x = 615,540 × 615,540
  4. Step 4: Simplify right side
    284,934x = 378,889,491,600
  5. Step 5: Solve for x
    x = 378,889,491,600/284,934
  6. Step 6: Final answer
    x = 1,329,744.75

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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.