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Finding the Third Proportional to 41,864.34 and 98,745.33

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Solution

The third proportional to 41,864.34 and 98,745.33 is: 232,910.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,864.34 : 98,745.33 = 98,745.33 : x
  2. Step 2: Convert to fraction form
    41,864.34/98,745.33 = 98,745.33/x
  3. Step 3: Cross multiply
    41,864.34x = 98,745.33 × 98,745.33
  4. Step 4: Simplify right side
    41,864.34x = 9,750,639,826.51
  5. Step 5: Solve for x
    x = 9,750,639,826.51/41,864.34
  6. Step 6: Final answer
    x = 232,910.37

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.