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Finding the Third Proportional to 121,585 and 181,891

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Solution

The third proportional to 121,585 and 181,891 is: 272,108.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,585 : 181,891 = 181,891 : x
  2. Step 2: Convert to fraction form
    121,585/181,891 = 181,891/x
  3. Step 3: Cross multiply
    121,585x = 181,891 × 181,891
  4. Step 4: Simplify right side
    121,585x = 33,084,335,881
  5. Step 5: Solve for x
    x = 33,084,335,881/121,585
  6. Step 6: Final answer
    x = 272,108.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.