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Finding the Third Proportional to 285.75 and 772.13

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Solution

The third proportional to 285.75 and 772.13 is: 2,086.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.75 : 772.13 = 772.13 : x
  2. Step 2: Convert to fraction form
    285.75/772.13 = 772.13/x
  3. Step 3: Cross multiply
    285.75x = 772.13 × 772.13
  4. Step 4: Simplify right side
    285.75x = 596,177.02
  5. Step 5: Solve for x
    x = 596,177.02/285.75
  6. Step 6: Final answer
    x = 2,086.36

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Why These Related Problems?

These problems maintain the same ratio (2.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.