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Finding the Third Proportional to 81,664 and 105,645

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Solution

The third proportional to 81,664 and 105,645 is: 136,668.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,664 : 105,645 = 105,645 : x
  2. Step 2: Convert to fraction form
    81,664/105,645 = 105,645/x
  3. Step 3: Cross multiply
    81,664x = 105,645 × 105,645
  4. Step 4: Simplify right side
    81,664x = 11,160,866,025
  5. Step 5: Solve for x
    x = 11,160,866,025/81,664
  6. Step 6: Final answer
    x = 136,668.13

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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.