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Finding the Third Proportional to 90.81 and 145.19

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Solution

The third proportional to 90.81 and 145.19 is: 232.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.81 : 145.19 = 145.19 : x
  2. Step 2: Convert to fraction form
    90.81/145.19 = 145.19/x
  3. Step 3: Cross multiply
    90.81x = 145.19 × 145.19
  4. Step 4: Simplify right side
    90.81x = 21,079.41
  5. Step 5: Solve for x
    x = 21,079.41/90.81
  6. Step 6: Final answer
    x = 232.12

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.