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Finding the Third Proportional to 320.91 and 421.17

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Solution

The third proportional to 320.91 and 421.17 is: 552.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.91 : 421.17 = 421.17 : x
  2. Step 2: Convert to fraction form
    320.91/421.17 = 421.17/x
  3. Step 3: Cross multiply
    320.91x = 421.17 × 421.17
  4. Step 4: Simplify right side
    320.91x = 177,385.75
  5. Step 5: Solve for x
    x = 177,385.75/320.91
  6. Step 6: Final answer
    x = 552.77

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.