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Finding the Third Proportional to 257,987 and 547,195

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Solution

The third proportional to 257,987 and 547,195 is: 1,160,610.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,987 : 547,195 = 547,195 : x
  2. Step 2: Convert to fraction form
    257,987/547,195 = 547,195/x
  3. Step 3: Cross multiply
    257,987x = 547,195 × 547,195
  4. Step 4: Simplify right side
    257,987x = 299,422,368,025
  5. Step 5: Solve for x
    x = 299,422,368,025/257,987
  6. Step 6: Final answer
    x = 1,160,610.29

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.