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Finding the Third Proportional to 538.13 and 814.63

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Solution

The third proportional to 538.13 and 814.63 is: 1,233.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.13 : 814.63 = 814.63 : x
  2. Step 2: Convert to fraction form
    538.13/814.63 = 814.63/x
  3. Step 3: Cross multiply
    538.13x = 814.63 × 814.63
  4. Step 4: Simplify right side
    538.13x = 663,613.89
  5. Step 5: Solve for x
    x = 663,613.89/538.13
  6. Step 6: Final answer
    x = 1,233.20

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.