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Finding the Third Proportional to 312.61 and 358.17

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Solution

The third proportional to 312.61 and 358.17 is: 410.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.61 : 358.17 = 358.17 : x
  2. Step 2: Convert to fraction form
    312.61/358.17 = 358.17/x
  3. Step 3: Cross multiply
    312.61x = 358.17 × 358.17
  4. Step 4: Simplify right side
    312.61x = 128,287.09
  5. Step 5: Solve for x
    x = 128,287.09/312.61
  6. Step 6: Final answer
    x = 410.38

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.