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Finding the Third Proportional to 215.81 and 470.91

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Solution

The third proportional to 215.81 and 470.91 is: 1,027.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.81 : 470.91 = 470.91 : x
  2. Step 2: Convert to fraction form
    215.81/470.91 = 470.91/x
  3. Step 3: Cross multiply
    215.81x = 470.91 × 470.91
  4. Step 4: Simplify right side
    215.81x = 221,752.70
  5. Step 5: Solve for x
    x = 221,752.70/215.81
  6. Step 6: Final answer
    x = 1,027.52

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.