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Finding the Third Proportional to 539.63 and 817.13

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Solution

The third proportional to 539.63 and 817.13 is: 1,237.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.63 : 817.13 = 817.13 : x
  2. Step 2: Convert to fraction form
    539.63/817.13 = 817.13/x
  3. Step 3: Cross multiply
    539.63x = 817.13 × 817.13
  4. Step 4: Simplify right side
    539.63x = 667,693.27
  5. Step 5: Solve for x
    x = 667,693.27/539.63
  6. Step 6: Final answer
    x = 1,237.33

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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.