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Finding the Third Proportional to 616.85 and 976.64

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Solution

The third proportional to 616.85 and 976.64 is: 1,546.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.85 : 976.64 = 976.64 : x
  2. Step 2: Convert to fraction form
    616.85/976.64 = 976.64/x
  3. Step 3: Cross multiply
    616.85x = 976.64 × 976.64
  4. Step 4: Simplify right side
    616.85x = 953,826.91
  5. Step 5: Solve for x
    x = 953,826.91/616.85
  6. Step 6: Final answer
    x = 1,546.28

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.