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Finding the Third Proportional to 130.13 and 282.98

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Solution

The third proportional to 130.13 and 282.98 is: 615.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.13 : 282.98 = 282.98 : x
  2. Step 2: Convert to fraction form
    130.13/282.98 = 282.98/x
  3. Step 3: Cross multiply
    130.13x = 282.98 × 282.98
  4. Step 4: Simplify right side
    130.13x = 80,080.16
  5. Step 5: Solve for x
    x = 80,080.16/130.13
  6. Step 6: Final answer
    x = 615.41

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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.