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Finding the Third Proportional to 550,279 and 723,615

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Solution

The third proportional to 550,279 and 723,615 is: 951,551.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,279 : 723,615 = 723,615 : x
  2. Step 2: Convert to fraction form
    550,279/723,615 = 723,615/x
  3. Step 3: Cross multiply
    550,279x = 723,615 × 723,615
  4. Step 4: Simplify right side
    550,279x = 523,618,668,225
  5. Step 5: Solve for x
    x = 523,618,668,225/550,279
  6. Step 6: Final answer
    x = 951,551.25

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.