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Finding the Third Proportional to 437.91 and 616.36

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Solution

The third proportional to 437.91 and 616.36 is: 867.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.91 : 616.36 = 616.36 : x
  2. Step 2: Convert to fraction form
    437.91/616.36 = 616.36/x
  3. Step 3: Cross multiply
    437.91x = 616.36 × 616.36
  4. Step 4: Simplify right side
    437.91x = 379,898.88
  5. Step 5: Solve for x
    x = 379,898.88/437.91
  6. Step 6: Final answer
    x = 867.53

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.