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Finding the Third Proportional to 81,292.50 and 108,735

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Solution

The third proportional to 81,292.50 and 108,735 is: 145,441.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,292.50 : 108,735 = 108,735 : x
  2. Step 2: Convert to fraction form
    81,292.50/108,735 = 108,735/x
  3. Step 3: Cross multiply
    81,292.50x = 108,735 × 108,735
  4. Step 4: Simplify right side
    81,292.50x = 11,823,300,225
  5. Step 5: Solve for x
    x = 11,823,300,225/81,292.50
  6. Step 6: Final answer
    x = 145,441.46

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.