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Finding the Third Proportional to 432.91 and 649.19

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Solution

The third proportional to 432.91 and 649.19 is: 973.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.91 : 649.19 = 649.19 : x
  2. Step 2: Convert to fraction form
    432.91/649.19 = 649.19/x
  3. Step 3: Cross multiply
    432.91x = 649.19 × 649.19
  4. Step 4: Simplify right side
    432.91x = 421,449.48
  5. Step 5: Solve for x
    x = 421,449.48/432.91
  6. Step 6: Final answer
    x = 973.54

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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.