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Finding the Third Proportional to 257,709 and 522,666

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Solution

The third proportional to 257,709 and 522,666 is: 1,060,031.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,709 : 522,666 = 522,666 : x
  2. Step 2: Convert to fraction form
    257,709/522,666 = 522,666/x
  3. Step 3: Cross multiply
    257,709x = 522,666 × 522,666
  4. Step 4: Simplify right side
    257,709x = 273,179,747,556
  5. Step 5: Solve for x
    x = 273,179,747,556/257,709
  6. Step 6: Final answer
    x = 1,060,031.85

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.