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Finding the Third Proportional to 138,463 and 297,986

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Solution

The third proportional to 138,463 and 297,986 is: 641,295.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,463 : 297,986 = 297,986 : x
  2. Step 2: Convert to fraction form
    138,463/297,986 = 297,986/x
  3. Step 3: Cross multiply
    138,463x = 297,986 × 297,986
  4. Step 4: Simplify right side
    138,463x = 88,795,656,196
  5. Step 5: Solve for x
    x = 88,795,656,196/138,463
  6. Step 6: Final answer
    x = 641,295.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.