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Finding the Third Proportional to 142.31 and 261

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Solution

The third proportional to 142.31 and 261 is: 478.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.31 : 261 = 261 : x
  2. Step 2: Convert to fraction form
    142.31/261 = 261/x
  3. Step 3: Cross multiply
    142.31x = 261 × 261
  4. Step 4: Simplify right side
    142.31x = 68,121
  5. Step 5: Solve for x
    x = 68,121/142.31
  6. Step 6: Final answer
    x = 478.67

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.