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Finding the Third Proportional to 89,640 and 125,644.50

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Solution

The third proportional to 89,640 and 125,644.50 is: 176,110.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,640 : 125,644.50 = 125,644.50 : x
  2. Step 2: Convert to fraction form
    89,640/125,644.50 = 125,644.50/x
  3. Step 3: Cross multiply
    89,640x = 125,644.50 × 125,644.50
  4. Step 4: Simplify right side
    89,640x = 15,786,540,380.25
  5. Step 5: Solve for x
    x = 15,786,540,380.25/89,640
  6. Step 6: Final answer
    x = 176,110.45

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.