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Finding the Third Proportional to 257,082 and 395,397

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Solution

The third proportional to 257,082 and 395,397 is: 608,128.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,082 : 395,397 = 395,397 : x
  2. Step 2: Convert to fraction form
    257,082/395,397 = 395,397/x
  3. Step 3: Cross multiply
    257,082x = 395,397 × 395,397
  4. Step 4: Simplify right side
    257,082x = 156,338,787,609
  5. Step 5: Solve for x
    x = 156,338,787,609/257,082
  6. Step 6: Final answer
    x = 608,128.10

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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.