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Finding the Third Proportional to 288,360 and 663,720

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Solution

The third proportional to 288,360 and 663,720 is: 1,527,688.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,360 : 663,720 = 663,720 : x
  2. Step 2: Convert to fraction form
    288,360/663,720 = 663,720/x
  3. Step 3: Cross multiply
    288,360x = 663,720 × 663,720
  4. Step 4: Simplify right side
    288,360x = 440,524,238,400
  5. Step 5: Solve for x
    x = 440,524,238,400/288,360
  6. Step 6: Final answer
    x = 1,527,688.44

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.