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Finding the Third Proportional to 121,664 and 170,751

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Solution

The third proportional to 121,664 and 170,751 is: 239,642.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,664 : 170,751 = 170,751 : x
  2. Step 2: Convert to fraction form
    121,664/170,751 = 170,751/x
  3. Step 3: Cross multiply
    121,664x = 170,751 × 170,751
  4. Step 4: Simplify right side
    121,664x = 29,155,904,001
  5. Step 5: Solve for x
    x = 29,155,904,001/121,664
  6. Step 6: Final answer
    x = 239,642.82

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.