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Finding the Third Proportional to 121,534 and 183,981

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Solution

The third proportional to 121,534 and 183,981 is: 278,514.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,534 : 183,981 = 183,981 : x
  2. Step 2: Convert to fraction form
    121,534/183,981 = 183,981/x
  3. Step 3: Cross multiply
    121,534x = 183,981 × 183,981
  4. Step 4: Simplify right side
    121,534x = 33,849,008,361
  5. Step 5: Solve for x
    x = 33,849,008,361/121,534
  6. Step 6: Final answer
    x = 278,514.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.