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Finding the Third Proportional to 240.75 and 564.89

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Solution

The third proportional to 240.75 and 564.89 is: 1,325.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.75 : 564.89 = 564.89 : x
  2. Step 2: Convert to fraction form
    240.75/564.89 = 564.89/x
  3. Step 3: Cross multiply
    240.75x = 564.89 × 564.89
  4. Step 4: Simplify right side
    240.75x = 319,101.42
  5. Step 5: Solve for x
    x = 319,101.42/240.75
  6. Step 6: Final answer
    x = 1,325.45

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.