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Finding the Third Proportional to 257,650 and 356,015

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Solution

The third proportional to 257,650 and 356,015 is: 491,933.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,650 : 356,015 = 356,015 : x
  2. Step 2: Convert to fraction form
    257,650/356,015 = 356,015/x
  3. Step 3: Cross multiply
    257,650x = 356,015 × 356,015
  4. Step 4: Simplify right side
    257,650x = 126,746,680,225
  5. Step 5: Solve for x
    x = 126,746,680,225/257,650
  6. Step 6: Final answer
    x = 491,933.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.