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Finding the Third Proportional to 257,726 and 522,700

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Solution

The third proportional to 257,726 and 522,700 is: 1,060,099.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,726 : 522,700 = 522,700 : x
  2. Step 2: Convert to fraction form
    257,726/522,700 = 522,700/x
  3. Step 3: Cross multiply
    257,726x = 522,700 × 522,700
  4. Step 4: Simplify right side
    257,726x = 273,215,290,000
  5. Step 5: Solve for x
    x = 273,215,290,000/257,726
  6. Step 6: Final answer
    x = 1,060,099.83

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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.