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Finding the Third Proportional to 137,791.13 and 298,419.19

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Solution

The third proportional to 137,791.13 and 298,419.19 is: 646,297.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,791.13 : 298,419.19 = 298,419.19 : x
  2. Step 2: Convert to fraction form
    137,791.13/298,419.19 = 298,419.19/x
  3. Step 3: Cross multiply
    137,791.13x = 298,419.19 × 298,419.19
  4. Step 4: Simplify right side
    137,791.13x = 89,054,011,468.16
  5. Step 5: Solve for x
    x = 89,054,011,468.16/137,791.13
  6. Step 6: Final answer
    x = 646,297.15

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.