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Finding the Third Proportional to 131,190.47 and 280,618.31

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Solution

The third proportional to 131,190.47 and 280,618.31 is: 600,246.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,190.47 : 280,618.31 = 280,618.31 : x
  2. Step 2: Convert to fraction form
    131,190.47/280,618.31 = 280,618.31/x
  3. Step 3: Cross multiply
    131,190.47x = 280,618.31 × 280,618.31
  4. Step 4: Simplify right side
    131,190.47x = 78,746,637,310.35
  5. Step 5: Solve for x
    x = 78,746,637,310.35/131,190.47
  6. Step 6: Final answer
    x = 600,246.63

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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.