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Finding the Third Proportional to 121,538 and 161,787

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Solution

The third proportional to 121,538 and 161,787 is: 215,365.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,538 : 161,787 = 161,787 : x
  2. Step 2: Convert to fraction form
    121,538/161,787 = 161,787/x
  3. Step 3: Cross multiply
    121,538x = 161,787 × 161,787
  4. Step 4: Simplify right side
    121,538x = 26,175,033,369
  5. Step 5: Solve for x
    x = 26,175,033,369/121,538
  6. Step 6: Final answer
    x = 215,365.02

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.