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Finding the Third Proportional to 122,107.50 and 177,572.25

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Solution

The third proportional to 122,107.50 and 177,572.25 is: 258,230.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,107.50 : 177,572.25 = 177,572.25 : x
  2. Step 2: Convert to fraction form
    122,107.50/177,572.25 = 177,572.25/x
  3. Step 3: Cross multiply
    122,107.50x = 177,572.25 × 177,572.25
  4. Step 4: Simplify right side
    122,107.50x = 31,531,903,970.06
  5. Step 5: Solve for x
    x = 31,531,903,970.06/122,107.50
  6. Step 6: Final answer
    x = 258,230.69

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.