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Finding the Third Proportional to 121,839.19 and 282,039.47

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Solution

The third proportional to 121,839.19 and 282,039.47 is: 652,879.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,839.19 : 282,039.47 = 282,039.47 : x
  2. Step 2: Convert to fraction form
    121,839.19/282,039.47 = 282,039.47/x
  3. Step 3: Cross multiply
    121,839.19x = 282,039.47 × 282,039.47
  4. Step 4: Simplify right side
    121,839.19x = 79,546,261,932.78
  5. Step 5: Solve for x
    x = 79,546,261,932.78/121,839.19
  6. Step 6: Final answer
    x = 652,879.12

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.