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Finding the Third Proportional to 1,001.95 and 2,192.48

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Solution

The third proportional to 1,001.95 and 2,192.48 is: 4,797.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001.95 : 2,192.48 = 2,192.48 : x
  2. Step 2: Convert to fraction form
    1,001.95/2,192.48 = 2,192.48/x
  3. Step 3: Cross multiply
    1,001.95x = 2,192.48 × 2,192.48
  4. Step 4: Simplify right side
    1,001.95x = 4,806,987.73
  5. Step 5: Solve for x
    x = 4,806,987.73/1,001.95
  6. Step 6: Final answer
    x = 4,797.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.