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Finding the Third Proportional to 566.42 and 866.53

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Solution

The third proportional to 566.42 and 866.53 is: 1,325.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.42 : 866.53 = 866.53 : x
  2. Step 2: Convert to fraction form
    566.42/866.53 = 866.53/x
  3. Step 3: Cross multiply
    566.42x = 866.53 × 866.53
  4. Step 4: Simplify right side
    566.42x = 750,876.41
  5. Step 5: Solve for x
    x = 750,876.41/566.42
  6. Step 6: Final answer
    x = 1,325.65

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.