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Finding the Third Proportional to 349,442 and 523,615

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Solution

The third proportional to 349,442 and 523,615 is: 784,601.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,442 : 523,615 = 523,615 : x
  2. Step 2: Convert to fraction form
    349,442/523,615 = 523,615/x
  3. Step 3: Cross multiply
    349,442x = 523,615 × 523,615
  4. Step 4: Simplify right side
    349,442x = 274,172,668,225
  5. Step 5: Solve for x
    x = 274,172,668,225/349,442
  6. Step 6: Final answer
    x = 784,601.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.