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Finding the Third Proportional to 257,497 and 559,325

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Solution

The third proportional to 257,497 and 559,325 is: 1,214,944.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,497 : 559,325 = 559,325 : x
  2. Step 2: Convert to fraction form
    257,497/559,325 = 559,325/x
  3. Step 3: Cross multiply
    257,497x = 559,325 × 559,325
  4. Step 4: Simplify right side
    257,497x = 312,844,455,625
  5. Step 5: Solve for x
    x = 312,844,455,625/257,497
  6. Step 6: Final answer
    x = 1,214,944.08

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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.