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Finding the Third Proportional to 532,320 and 800,640

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Solution

The third proportional to 532,320 and 800,640 is: 1,204,208.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,320 : 800,640 = 800,640 : x
  2. Step 2: Convert to fraction form
    532,320/800,640 = 800,640/x
  3. Step 3: Cross multiply
    532,320x = 800,640 × 800,640
  4. Step 4: Simplify right side
    532,320x = 641,024,409,600
  5. Step 5: Solve for x
    x = 641,024,409,600/532,320
  6. Step 6: Final answer
    x = 1,204,208.76

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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.