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Finding the Third Proportional to 44,013 and 96,091

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Solution

The third proportional to 44,013 and 96,091 is: 209,789.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,013 : 96,091 = 96,091 : x
  2. Step 2: Convert to fraction form
    44,013/96,091 = 96,091/x
  3. Step 3: Cross multiply
    44,013x = 96,091 × 96,091
  4. Step 4: Simplify right side
    44,013x = 9,233,480,281
  5. Step 5: Solve for x
    x = 9,233,480,281/44,013
  6. Step 6: Final answer
    x = 209,789.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.