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Finding the Third Proportional to 213.38 and 457.13

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Solution

The third proportional to 213.38 and 457.13 is: 979.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.38 : 457.13 = 457.13 : x
  2. Step 2: Convert to fraction form
    213.38/457.13 = 457.13/x
  3. Step 3: Cross multiply
    213.38x = 457.13 × 457.13
  4. Step 4: Simplify right side
    213.38x = 208,963.27
  5. Step 5: Solve for x
    x = 208,963.27/213.38
  6. Step 6: Final answer
    x = 979.32

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.