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Finding the Third Proportional to 138,550 and 298,292

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Solution

The third proportional to 138,550 and 298,292 is: 642,209.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,550 : 298,292 = 298,292 : x
  2. Step 2: Convert to fraction form
    138,550/298,292 = 298,292/x
  3. Step 3: Cross multiply
    138,550x = 298,292 × 298,292
  4. Step 4: Simplify right side
    138,550x = 88,978,117,264
  5. Step 5: Solve for x
    x = 88,978,117,264/138,550
  6. Step 6: Final answer
    x = 642,209.44

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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.