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Finding the Third Proportional to 102,555 and 215,474

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Solution

The third proportional to 102,555 and 215,474 is: 452,723.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,555 : 215,474 = 215,474 : x
  2. Step 2: Convert to fraction form
    102,555/215,474 = 215,474/x
  3. Step 3: Cross multiply
    102,555x = 215,474 × 215,474
  4. Step 4: Simplify right side
    102,555x = 46,429,044,676
  5. Step 5: Solve for x
    x = 46,429,044,676/102,555
  6. Step 6: Final answer
    x = 452,723.36

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.