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Finding the Third Proportional to 172,478 and 257,653

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Solution

The third proportional to 172,478 and 257,653 is: 384,890.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,478 : 257,653 = 257,653 : x
  2. Step 2: Convert to fraction form
    172,478/257,653 = 257,653/x
  3. Step 3: Cross multiply
    172,478x = 257,653 × 257,653
  4. Step 4: Simplify right side
    172,478x = 66,385,068,409
  5. Step 5: Solve for x
    x = 66,385,068,409/172,478
  6. Step 6: Final answer
    x = 384,890.06

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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.