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Finding the Third Proportional to 385.50 and 564.66

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Solution

The third proportional to 385.50 and 564.66 is: 827.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.50 : 564.66 = 564.66 : x
  2. Step 2: Convert to fraction form
    385.50/564.66 = 564.66/x
  3. Step 3: Cross multiply
    385.50x = 564.66 × 564.66
  4. Step 4: Simplify right side
    385.50x = 318,836.68
  5. Step 5: Solve for x
    x = 318,836.68/385.50
  6. Step 6: Final answer
    x = 827.07

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.