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Finding the Third Proportional to 129,534.19 and 199,837.13

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Solution

The third proportional to 129,534.19 and 199,837.13 is: 308,296.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,534.19 : 199,837.13 = 199,837.13 : x
  2. Step 2: Convert to fraction form
    129,534.19/199,837.13 = 199,837.13/x
  3. Step 3: Cross multiply
    129,534.19x = 199,837.13 × 199,837.13
  4. Step 4: Simplify right side
    129,534.19x = 39,934,876,528.27
  5. Step 5: Solve for x
    x = 39,934,876,528.27/129,534.19
  6. Step 6: Final answer
    x = 308,296.04

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.