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Finding the Third Proportional to 170,438 and 266,782

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Solution

The third proportional to 170,438 and 266,782 is: 417,586.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,438 : 266,782 = 266,782 : x
  2. Step 2: Convert to fraction form
    170,438/266,782 = 266,782/x
  3. Step 3: Cross multiply
    170,438x = 266,782 × 266,782
  4. Step 4: Simplify right side
    170,438x = 71,172,635,524
  5. Step 5: Solve for x
    x = 71,172,635,524/170,438
  6. Step 6: Final answer
    x = 417,586.66

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.