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Finding the Third Proportional to 173,366 and 257,403

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Solution

The third proportional to 173,366 and 257,403 is: 382,175.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,366 : 257,403 = 257,403 : x
  2. Step 2: Convert to fraction form
    173,366/257,403 = 257,403/x
  3. Step 3: Cross multiply
    173,366x = 257,403 × 257,403
  4. Step 4: Simplify right side
    173,366x = 66,256,304,409
  5. Step 5: Solve for x
    x = 66,256,304,409/173,366
  6. Step 6: Final answer
    x = 382,175.88

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.