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Finding the Third Proportional to 538.17 and 709.17

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Solution

The third proportional to 538.17 and 709.17 is: 934.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.17 : 709.17 = 709.17 : x
  2. Step 2: Convert to fraction form
    538.17/709.17 = 709.17/x
  3. Step 3: Cross multiply
    538.17x = 709.17 × 709.17
  4. Step 4: Simplify right side
    538.17x = 502,924.75
  5. Step 5: Solve for x
    x = 502,924.75/538.17
  6. Step 6: Final answer
    x = 934.51

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.