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Finding the Third Proportional to 121,588 and 181,895

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Solution

The third proportional to 121,588 and 181,895 is: 272,113.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,588 : 181,895 = 181,895 : x
  2. Step 2: Convert to fraction form
    121,588/181,895 = 181,895/x
  3. Step 3: Cross multiply
    121,588x = 181,895 × 181,895
  4. Step 4: Simplify right side
    121,588x = 33,085,791,025
  5. Step 5: Solve for x
    x = 33,085,791,025/121,588
  6. Step 6: Final answer
    x = 272,113.95

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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.