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Finding the Third Proportional to 126,427.50 and 287,930.75

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Solution

The third proportional to 126,427.50 and 287,930.75 is: 655,744.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,427.50 : 287,930.75 = 287,930.75 : x
  2. Step 2: Convert to fraction form
    126,427.50/287,930.75 = 287,930.75/x
  3. Step 3: Cross multiply
    126,427.50x = 287,930.75 × 287,930.75
  4. Step 4: Simplify right side
    126,427.50x = 82,904,116,795.56
  5. Step 5: Solve for x
    x = 82,904,116,795.56/126,427.50
  6. Step 6: Final answer
    x = 655,744.33

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.