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Finding the Third Proportional to 171,775.50 and 256,873.50

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Solution

The third proportional to 171,775.50 and 256,873.50 is: 384,129.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,775.50 : 256,873.50 = 256,873.50 : x
  2. Step 2: Convert to fraction form
    171,775.50/256,873.50 = 256,873.50/x
  3. Step 3: Cross multiply
    171,775.50x = 256,873.50 × 256,873.50
  4. Step 4: Simplify right side
    171,775.50x = 65,983,995,002.25
  5. Step 5: Solve for x
    x = 65,983,995,002.25/171,775.50
  6. Step 6: Final answer
    x = 384,129.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.