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Finding the Third Proportional to 567.25 and 859.38

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Solution

The third proportional to 567.25 and 859.38 is: 1,301.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.25 : 859.38 = 859.38 : x
  2. Step 2: Convert to fraction form
    567.25/859.38 = 859.38/x
  3. Step 3: Cross multiply
    567.25x = 859.38 × 859.38
  4. Step 4: Simplify right side
    567.25x = 738,525.39
  5. Step 5: Solve for x
    x = 738,525.39/567.25
  6. Step 6: Final answer
    x = 1,301.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.