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Finding the Third Proportional to 81,065 and 176,746

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Solution

The third proportional to 81,065 and 176,746 is: 385,359.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,065 : 176,746 = 176,746 : x
  2. Step 2: Convert to fraction form
    81,065/176,746 = 176,746/x
  3. Step 3: Cross multiply
    81,065x = 176,746 × 176,746
  4. Step 4: Simplify right side
    81,065x = 31,239,148,516
  5. Step 5: Solve for x
    x = 31,239,148,516/81,065
  6. Step 6: Final answer
    x = 385,359.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.