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Finding the Third Proportional to 83,242.69 and 121,754.39

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Solution

The third proportional to 83,242.69 and 121,754.39 is: 178,083.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,242.69 : 121,754.39 = 121,754.39 : x
  2. Step 2: Convert to fraction form
    83,242.69/121,754.39 = 121,754.39/x
  3. Step 3: Cross multiply
    83,242.69x = 121,754.39 × 121,754.39
  4. Step 4: Simplify right side
    83,242.69x = 14,824,131,636.47
  5. Step 5: Solve for x
    x = 14,824,131,636.47/83,242.69
  6. Step 6: Final answer
    x = 178,083.29

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.