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Finding the Third Proportional to 138,548 and 298,287

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Solution

The third proportional to 138,548 and 298,287 is: 642,197.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,548 : 298,287 = 298,287 : x
  2. Step 2: Convert to fraction form
    138,548/298,287 = 298,287/x
  3. Step 3: Cross multiply
    138,548x = 298,287 × 298,287
  4. Step 4: Simplify right side
    138,548x = 88,975,134,369
  5. Step 5: Solve for x
    x = 88,975,134,369/138,548
  6. Step 6: Final answer
    x = 642,197.18

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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.