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Finding the Third Proportional to 410,338 and 641,427

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Solution

The third proportional to 410,338 and 641,427 is: 1,002,657.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,338 : 641,427 = 641,427 : x
  2. Step 2: Convert to fraction form
    410,338/641,427 = 641,427/x
  3. Step 3: Cross multiply
    410,338x = 641,427 × 641,427
  4. Step 4: Simplify right side
    410,338x = 411,428,596,329
  5. Step 5: Solve for x
    x = 411,428,596,329/410,338
  6. Step 6: Final answer
    x = 1,002,657.80

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.