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Finding the Third Proportional to 244,269 and 387,720

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Solution

The third proportional to 244,269 and 387,720 is: 615,414.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,269 : 387,720 = 387,720 : x
  2. Step 2: Convert to fraction form
    244,269/387,720 = 387,720/x
  3. Step 3: Cross multiply
    244,269x = 387,720 × 387,720
  4. Step 4: Simplify right side
    244,269x = 150,326,798,400
  5. Step 5: Solve for x
    x = 150,326,798,400/244,269
  6. Step 6: Final answer
    x = 615,414.97

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.