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Finding the Third Proportional to 81,142 and 177,046

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Solution

The third proportional to 81,142 and 177,046 is: 386,301.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,142 : 177,046 = 177,046 : x
  2. Step 2: Convert to fraction form
    81,142/177,046 = 177,046/x
  3. Step 3: Cross multiply
    81,142x = 177,046 × 177,046
  4. Step 4: Simplify right side
    81,142x = 31,345,286,116
  5. Step 5: Solve for x
    x = 31,345,286,116/81,142
  6. Step 6: Final answer
    x = 386,301.62

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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.