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Finding the Third Proportional to 465.84 and 640.78

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Solution

The third proportional to 465.84 and 640.78 is: 881.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.84 : 640.78 = 640.78 : x
  2. Step 2: Convert to fraction form
    465.84/640.78 = 640.78/x
  3. Step 3: Cross multiply
    465.84x = 640.78 × 640.78
  4. Step 4: Simplify right side
    465.84x = 410,600.61
  5. Step 5: Solve for x
    x = 410,600.61/465.84
  6. Step 6: Final answer
    x = 881.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.