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Finding the Third Proportional to 281.53 and 591.47

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Solution

The third proportional to 281.53 and 591.47 is: 1,242.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.53 : 591.47 = 591.47 : x
  2. Step 2: Convert to fraction form
    281.53/591.47 = 591.47/x
  3. Step 3: Cross multiply
    281.53x = 591.47 × 591.47
  4. Step 4: Simplify right side
    281.53x = 349,835.28
  5. Step 5: Solve for x
    x = 349,835.28/281.53
  6. Step 6: Final answer
    x = 1,242.62

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.