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Finding the Third Proportional to 131,010.75 and 280,698.75

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Solution

The third proportional to 131,010.75 and 280,698.75 is: 601,414.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,010.75 : 280,698.75 = 280,698.75 : x
  2. Step 2: Convert to fraction form
    131,010.75/280,698.75 = 280,698.75/x
  3. Step 3: Cross multiply
    131,010.75x = 280,698.75 × 280,698.75
  4. Step 4: Simplify right side
    131,010.75x = 78,791,788,251.56
  5. Step 5: Solve for x
    x = 78,791,788,251.56/131,010.75
  6. Step 6: Final answer
    x = 601,414.68

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.