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Finding the Third Proportional to 121,017.38 and 161,635.50

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Solution

The third proportional to 121,017.38 and 161,635.50 is: 215,886.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,017.38 : 161,635.50 = 161,635.50 : x
  2. Step 2: Convert to fraction form
    121,017.38/161,635.50 = 161,635.50/x
  3. Step 3: Cross multiply
    121,017.38x = 161,635.50 × 161,635.50
  4. Step 4: Simplify right side
    121,017.38x = 26,126,034,860.25
  5. Step 5: Solve for x
    x = 26,126,034,860.25/121,017.38
  6. Step 6: Final answer
    x = 215,886.64

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.