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Finding the Third Proportional to 130.88 and 284.53

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Solution

The third proportional to 130.88 and 284.53 is: 618.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.88 : 284.53 = 284.53 : x
  2. Step 2: Convert to fraction form
    130.88/284.53 = 284.53/x
  3. Step 3: Cross multiply
    130.88x = 284.53 × 284.53
  4. Step 4: Simplify right side
    130.88x = 80,958.03
  5. Step 5: Solve for x
    x = 80,958.03/130.88
  6. Step 6: Final answer
    x = 618.59

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.