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Finding the Third Proportional to 257,125 and 558,475

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Solution

The third proportional to 257,125 and 558,475 is: 1,213,006.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,125 : 558,475 = 558,475 : x
  2. Step 2: Convert to fraction form
    257,125/558,475 = 558,475/x
  3. Step 3: Cross multiply
    257,125x = 558,475 × 558,475
  4. Step 4: Simplify right side
    257,125x = 311,894,325,625
  5. Step 5: Solve for x
    x = 311,894,325,625/257,125
  6. Step 6: Final answer
    x = 1,213,006.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.