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Finding the Third Proportional to 130.06 and 284.13

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Solution

The third proportional to 130.06 and 284.13 is: 620.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.06 : 284.13 = 284.13 : x
  2. Step 2: Convert to fraction form
    130.06/284.13 = 284.13/x
  3. Step 3: Cross multiply
    130.06x = 284.13 × 284.13
  4. Step 4: Simplify right side
    130.06x = 80,727.02
  5. Step 5: Solve for x
    x = 80,727.02/130.06
  6. Step 6: Final answer
    x = 620.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.