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Finding the Third Proportional to 257,988 and 398,484

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Solution

The third proportional to 257,988 and 398,484 is: 615,491.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,988 : 398,484 = 398,484 : x
  2. Step 2: Convert to fraction form
    257,988/398,484 = 398,484/x
  3. Step 3: Cross multiply
    257,988x = 398,484 × 398,484
  4. Step 4: Simplify right side
    257,988x = 158,789,498,256
  5. Step 5: Solve for x
    x = 158,789,498,256/257,988
  6. Step 6: Final answer
    x = 615,491.80

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.