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Finding the Third Proportional to 121,350 and 181,089

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Solution

The third proportional to 121,350 and 181,089 is: 270,236.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,350 : 181,089 = 181,089 : x
  2. Step 2: Convert to fraction form
    121,350/181,089 = 181,089/x
  3. Step 3: Cross multiply
    121,350x = 181,089 × 181,089
  4. Step 4: Simplify right side
    121,350x = 32,793,225,921
  5. Step 5: Solve for x
    x = 32,793,225,921/121,350
  6. Step 6: Final answer
    x = 270,236.72

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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.