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Finding the Third Proportional to 167,708 and 257,403

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Solution

The third proportional to 167,708 and 257,403 is: 395,069.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,708 : 257,403 = 257,403 : x
  2. Step 2: Convert to fraction form
    167,708/257,403 = 257,403/x
  3. Step 3: Cross multiply
    167,708x = 257,403 × 257,403
  4. Step 4: Simplify right side
    167,708x = 66,256,304,409
  5. Step 5: Solve for x
    x = 66,256,304,409/167,708
  6. Step 6: Final answer
    x = 395,069.43

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.