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Finding the Third Proportional to 257,117 and 558,459

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Solution

The third proportional to 257,117 and 558,459 is: 1,212,974.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,117 : 558,459 = 558,459 : x
  2. Step 2: Convert to fraction form
    257,117/558,459 = 558,459/x
  3. Step 3: Cross multiply
    257,117x = 558,459 × 558,459
  4. Step 4: Simplify right side
    257,117x = 311,876,454,681
  5. Step 5: Solve for x
    x = 311,876,454,681/257,117
  6. Step 6: Final answer
    x = 1,212,974.85

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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.