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Finding the Third Proportional to 100.88 and 145.44

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Solution

The third proportional to 100.88 and 145.44 is: 209.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.88 : 145.44 = 145.44 : x
  2. Step 2: Convert to fraction form
    100.88/145.44 = 145.44/x
  3. Step 3: Cross multiply
    100.88x = 145.44 × 145.44
  4. Step 4: Simplify right side
    100.88x = 21,152.07
  5. Step 5: Solve for x
    x = 21,152.07/100.88
  6. Step 6: Final answer
    x = 209.69

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.