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Finding the Third Proportional to 99.75 and 145.66

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Solution

The third proportional to 99.75 and 145.66 is: 212.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.75 : 145.66 = 145.66 : x
  2. Step 2: Convert to fraction form
    99.75/145.66 = 145.66/x
  3. Step 3: Cross multiply
    99.75x = 145.66 × 145.66
  4. Step 4: Simplify right side
    99.75x = 21,215.74
  5. Step 5: Solve for x
    x = 21,215.74/99.75
  6. Step 6: Final answer
    x = 212.69

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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.