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Finding the Third Proportional to 81,442 and 176,810

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Solution

The third proportional to 81,442 and 176,810 is: 383,853.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,442 : 176,810 = 176,810 : x
  2. Step 2: Convert to fraction form
    81,442/176,810 = 176,810/x
  3. Step 3: Cross multiply
    81,442x = 176,810 × 176,810
  4. Step 4: Simplify right side
    81,442x = 31,261,776,100
  5. Step 5: Solve for x
    x = 31,261,776,100/81,442
  6. Step 6: Final answer
    x = 383,853.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.