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Finding the Third Proportional to 142,458.75 and 206,367.75

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Solution

The third proportional to 142,458.75 and 206,367.75 is: 298,947.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,458.75 : 206,367.75 = 206,367.75 : x
  2. Step 2: Convert to fraction form
    142,458.75/206,367.75 = 206,367.75/x
  3. Step 3: Cross multiply
    142,458.75x = 206,367.75 × 206,367.75
  4. Step 4: Simplify right side
    142,458.75x = 42,587,648,240.06
  5. Step 5: Solve for x
    x = 42,587,648,240.06/142,458.75
  6. Step 6: Final answer
    x = 298,947.23

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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.