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Finding the Third Proportional to 261.23 and 382.56

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Solution

The third proportional to 261.23 and 382.56 is: 560.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.23 : 382.56 = 382.56 : x
  2. Step 2: Convert to fraction form
    261.23/382.56 = 382.56/x
  3. Step 3: Cross multiply
    261.23x = 382.56 × 382.56
  4. Step 4: Simplify right side
    261.23x = 146,355.84
  5. Step 5: Solve for x
    x = 146,355.84/261.23
  6. Step 6: Final answer
    x = 560.26

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.