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Finding the Third Proportional to 81,759 and 176,421

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Solution

The third proportional to 81,759 and 176,421 is: 380,684.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,759 : 176,421 = 176,421 : x
  2. Step 2: Convert to fraction form
    81,759/176,421 = 176,421/x
  3. Step 3: Cross multiply
    81,759x = 176,421 × 176,421
  4. Step 4: Simplify right side
    81,759x = 31,124,369,241
  5. Step 5: Solve for x
    x = 31,124,369,241/81,759
  6. Step 6: Final answer
    x = 380,684.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.