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Finding the Third Proportional to 130.25 and 283.15

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Solution

The third proportional to 130.25 and 283.15 is: 615.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.25 : 283.15 = 283.15 : x
  2. Step 2: Convert to fraction form
    130.25/283.15 = 283.15/x
  3. Step 3: Cross multiply
    130.25x = 283.15 × 283.15
  4. Step 4: Simplify right side
    130.25x = 80,173.04
  5. Step 5: Solve for x
    x = 80,173.04/130.25
  6. Step 6: Final answer
    x = 615.51

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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.