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Finding the Third Proportional to 172,322 and 257,448

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Solution

The third proportional to 172,322 and 257,448 is: 384,625.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,322 : 257,448 = 257,448 : x
  2. Step 2: Convert to fraction form
    172,322/257,448 = 257,448/x
  3. Step 3: Cross multiply
    172,322x = 257,448 × 257,448
  4. Step 4: Simplify right side
    172,322x = 66,279,472,704
  5. Step 5: Solve for x
    x = 66,279,472,704/172,322
  6. Step 6: Final answer
    x = 384,625.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.