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Finding the Third Proportional to 285.06 and 614.56

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Solution

The third proportional to 285.06 and 614.56 is: 1,324.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.06 : 614.56 = 614.56 : x
  2. Step 2: Convert to fraction form
    285.06/614.56 = 614.56/x
  3. Step 3: Cross multiply
    285.06x = 614.56 × 614.56
  4. Step 4: Simplify right side
    285.06x = 377,687.07
  5. Step 5: Solve for x
    x = 377,687.07/285.06
  6. Step 6: Final answer
    x = 1,324.93

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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.