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Finding the Third Proportional to 85,905 and 132,745.50

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Solution

The third proportional to 85,905 and 132,745.50 is: 205,126.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,905 : 132,745.50 = 132,745.50 : x
  2. Step 2: Convert to fraction form
    85,905/132,745.50 = 132,745.50/x
  3. Step 3: Cross multiply
    85,905x = 132,745.50 × 132,745.50
  4. Step 4: Simplify right side
    85,905x = 17,621,367,770.25
  5. Step 5: Solve for x
    x = 17,621,367,770.25/85,905
  6. Step 6: Final answer
    x = 205,126.22

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.