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Finding the Third Proportional to 412.54 and 616.73

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Solution

The third proportional to 412.54 and 616.73 is: 921.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.54 : 616.73 = 616.73 : x
  2. Step 2: Convert to fraction form
    412.54/616.73 = 616.73/x
  3. Step 3: Cross multiply
    412.54x = 616.73 × 616.73
  4. Step 4: Simplify right side
    412.54x = 380,354.06
  5. Step 5: Solve for x
    x = 380,354.06/412.54
  6. Step 6: Final answer
    x = 921.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.