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Finding the Third Proportional to 81,483 and 176,534

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Solution

The third proportional to 81,483 and 176,534 is: 382,463.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,483 : 176,534 = 176,534 : x
  2. Step 2: Convert to fraction form
    81,483/176,534 = 176,534/x
  3. Step 3: Cross multiply
    81,483x = 176,534 × 176,534
  4. Step 4: Simplify right side
    81,483x = 31,164,253,156
  5. Step 5: Solve for x
    x = 31,164,253,156/81,483
  6. Step 6: Final answer
    x = 382,463.25

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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.