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Finding the Third Proportional to 81,764 and 176,431

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Solution

The third proportional to 81,764 and 176,431 is: 380,704.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,764 : 176,431 = 176,431 : x
  2. Step 2: Convert to fraction form
    81,764/176,431 = 176,431/x
  3. Step 3: Cross multiply
    81,764x = 176,431 × 176,431
  4. Step 4: Simplify right side
    81,764x = 31,127,897,761
  5. Step 5: Solve for x
    x = 31,127,897,761/81,764
  6. Step 6: Final answer
    x = 380,704.19

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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.