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Finding the Third Proportional to 257,820 and 398,397

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Solution

The third proportional to 257,820 and 398,397 is: 615,623.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,820 : 398,397 = 398,397 : x
  2. Step 2: Convert to fraction form
    257,820/398,397 = 398,397/x
  3. Step 3: Cross multiply
    257,820x = 398,397 × 398,397
  4. Step 4: Simplify right side
    257,820x = 158,720,169,609
  5. Step 5: Solve for x
    x = 158,720,169,609/257,820
  6. Step 6: Final answer
    x = 615,623.96

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.