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Finding the Third Proportional to 130.61 and 191.28

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Solution

The third proportional to 130.61 and 191.28 is: 280.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.61 : 191.28 = 191.28 : x
  2. Step 2: Convert to fraction form
    130.61/191.28 = 191.28/x
  3. Step 3: Cross multiply
    130.61x = 191.28 × 191.28
  4. Step 4: Simplify right side
    130.61x = 36,588.96
  5. Step 5: Solve for x
    x = 36,588.96/130.61
  6. Step 6: Final answer
    x = 280.13

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.