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Finding the Third Proportional to 391.75 and 470.50

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Solution

The third proportional to 391.75 and 470.50 is: 565.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.75 : 470.50 = 470.50 : x
  2. Step 2: Convert to fraction form
    391.75/470.50 = 470.50/x
  3. Step 3: Cross multiply
    391.75x = 470.50 × 470.50
  4. Step 4: Simplify right side
    391.75x = 221,370.25
  5. Step 5: Solve for x
    x = 221,370.25/391.75
  6. Step 6: Final answer
    x = 565.08

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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.