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Finding the Third Proportional to 121,499 and 171,021

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Solution

The third proportional to 121,499 and 171,021 is: 240,727.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,499 : 171,021 = 171,021 : x
  2. Step 2: Convert to fraction form
    121,499/171,021 = 171,021/x
  3. Step 3: Cross multiply
    121,499x = 171,021 × 171,021
  4. Step 4: Simplify right side
    121,499x = 29,248,182,441
  5. Step 5: Solve for x
    x = 29,248,182,441/121,499
  6. Step 6: Final answer
    x = 240,727.76

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.