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Finding the Third Proportional to 285.56 and 616.41

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Solution

The third proportional to 285.56 and 616.41 is: 1,330.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.56 : 616.41 = 616.41 : x
  2. Step 2: Convert to fraction form
    285.56/616.41 = 616.41/x
  3. Step 3: Cross multiply
    285.56x = 616.41 × 616.41
  4. Step 4: Simplify right side
    285.56x = 379,956.67
  5. Step 5: Solve for x
    x = 379,956.67/285.56
  6. Step 6: Final answer
    x = 1,330.56

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.