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Finding the Third Proportional to 257,650 and 408,868

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Solution

The third proportional to 257,650 and 408,868 is: 648,837.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,650 : 408,868 = 408,868 : x
  2. Step 2: Convert to fraction form
    257,650/408,868 = 408,868/x
  3. Step 3: Cross multiply
    257,650x = 408,868 × 408,868
  4. Step 4: Simplify right side
    257,650x = 167,173,041,424
  5. Step 5: Solve for x
    x = 167,173,041,424/257,650
  6. Step 6: Final answer
    x = 648,837.73

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.