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Finding the Third Proportional to 532 and 640

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Solution

The third proportional to 532 and 640 is: 769.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    532 : 640 = 640 : x
  2. Step 2: Convert to fraction form
    532/640 = 640/x
  3. Step 3: Cross multiply
    532x = 640 × 640
  4. Step 4: Simplify right side
    532x = 409,600
  5. Step 5: Solve for x
    x = 409,600/532
  6. Step 6: Final answer
    x = 769.92

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Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.