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Finding the Third Proportional to 616.88 and 838.31

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Solution

The third proportional to 616.88 and 838.31 is: 1,139.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.88 : 838.31 = 838.31 : x
  2. Step 2: Convert to fraction form
    616.88/838.31 = 838.31/x
  3. Step 3: Cross multiply
    616.88x = 838.31 × 838.31
  4. Step 4: Simplify right side
    616.88x = 702,767.85
  5. Step 5: Solve for x
    x = 702,767.85/616.88
  6. Step 6: Final answer
    x = 1,139.24

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.