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Finding the Third Proportional to 192,139.50 and 306,947.25

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Solution

The third proportional to 192,139.50 and 306,947.25 is: 490,355.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,139.50 : 306,947.25 = 306,947.25 : x
  2. Step 2: Convert to fraction form
    192,139.50/306,947.25 = 306,947.25/x
  3. Step 3: Cross multiply
    192,139.50x = 306,947.25 × 306,947.25
  4. Step 4: Simplify right side
    192,139.50x = 94,216,614,282.56
  5. Step 5: Solve for x
    x = 94,216,614,282.56/192,139.50
  6. Step 6: Final answer
    x = 490,355.26

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.