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Finding the Third Proportional to 45,220.78 and 99,187.03

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Solution

The third proportional to 45,220.78 and 99,187.03 is: 217,556.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,220.78 : 99,187.03 = 99,187.03 : x
  2. Step 2: Convert to fraction form
    45,220.78/99,187.03 = 99,187.03/x
  3. Step 3: Cross multiply
    45,220.78x = 99,187.03 × 99,187.03
  4. Step 4: Simplify right side
    45,220.78x = 9,838,067,168.19
  5. Step 5: Solve for x
    x = 9,838,067,168.19/45,220.78
  6. Step 6: Final answer
    x = 217,556.33

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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.