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Finding the Third Proportional to 131,321.25 and 256,079.25

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Solution

The third proportional to 131,321.25 and 256,079.25 is: 499,360.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,321.25 : 256,079.25 = 256,079.25 : x
  2. Step 2: Convert to fraction form
    131,321.25/256,079.25 = 256,079.25/x
  3. Step 3: Cross multiply
    131,321.25x = 256,079.25 × 256,079.25
  4. Step 4: Simplify right side
    131,321.25x = 65,576,582,280.56
  5. Step 5: Solve for x
    x = 65,576,582,280.56/131,321.25
  6. Step 6: Final answer
    x = 499,360.02

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.