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Finding the Third Proportional to 63,666 and 81,945

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Solution

The third proportional to 63,666 and 81,945 is: 105,472.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,666 : 81,945 = 81,945 : x
  2. Step 2: Convert to fraction form
    63,666/81,945 = 81,945/x
  3. Step 3: Cross multiply
    63,666x = 81,945 × 81,945
  4. Step 4: Simplify right side
    63,666x = 6,714,983,025
  5. Step 5: Solve for x
    x = 6,714,983,025/63,666
  6. Step 6: Final answer
    x = 105,472.04

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.