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Finding the Third Proportional to 142,458.75 and 305,876.25

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Solution

The third proportional to 142,458.75 and 305,876.25 is: 656,753.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,458.75 : 305,876.25 = 305,876.25 : x
  2. Step 2: Convert to fraction form
    142,458.75/305,876.25 = 305,876.25/x
  3. Step 3: Cross multiply
    142,458.75x = 305,876.25 × 305,876.25
  4. Step 4: Simplify right side
    142,458.75x = 93,560,280,314.06
  5. Step 5: Solve for x
    x = 93,560,280,314.06/142,458.75
  6. Step 6: Final answer
    x = 656,753.48

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.