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Finding the Third Proportional to 139,897.13 and 218,841.75

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Solution

The third proportional to 139,897.13 and 218,841.75 is: 342,335.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,897.13 : 218,841.75 = 218,841.75 : x
  2. Step 2: Convert to fraction form
    139,897.13/218,841.75 = 218,841.75/x
  3. Step 3: Cross multiply
    139,897.13x = 218,841.75 × 218,841.75
  4. Step 4: Simplify right side
    139,897.13x = 47,891,711,543.06
  5. Step 5: Solve for x
    x = 47,891,711,543.06/139,897.13
  6. Step 6: Final answer
    x = 342,335.21

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.