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Finding the Third Proportional to 130.99 and 187.95

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Solution

The third proportional to 130.99 and 187.95 is: 269.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.99 : 187.95 = 187.95 : x
  2. Step 2: Convert to fraction form
    130.99/187.95 = 187.95/x
  3. Step 3: Cross multiply
    130.99x = 187.95 × 187.95
  4. Step 4: Simplify right side
    130.99x = 35,323.44
  5. Step 5: Solve for x
    x = 35,323.44/130.99
  6. Step 6: Final answer
    x = 269.66

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.