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Finding the Third Proportional to 115,478 and 257,188

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Solution

The third proportional to 115,478 and 257,188 is: 572,798.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,478 : 257,188 = 257,188 : x
  2. Step 2: Convert to fraction form
    115,478/257,188 = 257,188/x
  3. Step 3: Cross multiply
    115,478x = 257,188 × 257,188
  4. Step 4: Simplify right side
    115,478x = 66,145,667,344
  5. Step 5: Solve for x
    x = 66,145,667,344/115,478
  6. Step 6: Final answer
    x = 572,798.87

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.