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Finding the Third Proportional to 199,837.13 and 389,559.38

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Solution

The third proportional to 199,837.13 and 389,559.38 is: 759,400.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,837.13 : 389,559.38 = 389,559.38 : x
  2. Step 2: Convert to fraction form
    199,837.13/389,559.38 = 389,559.38/x
  3. Step 3: Cross multiply
    199,837.13x = 389,559.38 × 389,559.38
  4. Step 4: Simplify right side
    199,837.13x = 151,756,506,650.39
  5. Step 5: Solve for x
    x = 151,756,506,650.39/199,837.13
  6. Step 6: Final answer
    x = 759,400.97

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.