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Finding the Third Proportional to 567.42 and 913.78

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Solution

The third proportional to 567.42 and 913.78 is: 1,471.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.42 : 913.78 = 913.78 : x
  2. Step 2: Convert to fraction form
    567.42/913.78 = 913.78/x
  3. Step 3: Cross multiply
    567.42x = 913.78 × 913.78
  4. Step 4: Simplify right side
    567.42x = 834,996.17
  5. Step 5: Solve for x
    x = 834,996.17/567.42
  6. Step 6: Final answer
    x = 1,471.56

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.