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Finding the Third Proportional to 257,109 and 558,445

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Solution

The third proportional to 257,109 and 558,445 is: 1,212,951.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,109 : 558,445 = 558,445 : x
  2. Step 2: Convert to fraction form
    257,109/558,445 = 558,445/x
  3. Step 3: Cross multiply
    257,109x = 558,445 × 558,445
  4. Step 4: Simplify right side
    257,109x = 311,860,818,025
  5. Step 5: Solve for x
    x = 311,860,818,025/257,109
  6. Step 6: Final answer
    x = 1,212,951.78

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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.