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Finding the Third Proportional to 261.67 and 564.15

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Solution

The third proportional to 261.67 and 564.15 is: 1,216.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.67 : 564.15 = 564.15 : x
  2. Step 2: Convert to fraction form
    261.67/564.15 = 564.15/x
  3. Step 3: Cross multiply
    261.67x = 564.15 × 564.15
  4. Step 4: Simplify right side
    261.67x = 318,267.87
  5. Step 5: Solve for x
    x = 318,267.87/261.67
  6. Step 6: Final answer
    x = 1,216.30

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.