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Finding the Third Proportional to 432.84 and 647.86

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Solution

The third proportional to 432.84 and 647.86 is: 969.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.84 : 647.86 = 647.86 : x
  2. Step 2: Convert to fraction form
    432.84/647.86 = 647.86/x
  3. Step 3: Cross multiply
    432.84x = 647.86 × 647.86
  4. Step 4: Simplify right side
    432.84x = 419,721.77
  5. Step 5: Solve for x
    x = 419,721.77/432.84
  6. Step 6: Final answer
    x = 969.68

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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.