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Finding the Third Proportional to 121,650 and 181,659

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Solution

The third proportional to 121,650 and 181,659 is: 271,269.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,650 : 181,659 = 181,659 : x
  2. Step 2: Convert to fraction form
    121,650/181,659 = 181,659/x
  3. Step 3: Cross multiply
    121,650x = 181,659 × 181,659
  4. Step 4: Simplify right side
    121,650x = 32,999,992,281
  5. Step 5: Solve for x
    x = 32,999,992,281/121,650
  6. Step 6: Final answer
    x = 271,269.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.