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Finding the Third Proportional to 257,650 and 558,189

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Solution

The third proportional to 257,650 and 558,189 is: 1,209,295.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,650 : 558,189 = 558,189 : x
  2. Step 2: Convert to fraction form
    257,650/558,189 = 558,189/x
  3. Step 3: Cross multiply
    257,650x = 558,189 × 558,189
  4. Step 4: Simplify right side
    257,650x = 311,574,959,721
  5. Step 5: Solve for x
    x = 311,574,959,721/257,650
  6. Step 6: Final answer
    x = 1,209,295.40

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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.