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Finding the Third Proportional to 170,143.50 and 261,164.25

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Solution

The third proportional to 170,143.50 and 261,164.25 is: 400,877.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,143.50 : 261,164.25 = 261,164.25 : x
  2. Step 2: Convert to fraction form
    170,143.50/261,164.25 = 261,164.25/x
  3. Step 3: Cross multiply
    170,143.50x = 261,164.25 × 261,164.25
  4. Step 4: Simplify right side
    170,143.50x = 68,206,765,478.06
  5. Step 5: Solve for x
    x = 68,206,765,478.06/170,143.50
  6. Step 6: Final answer
    x = 400,877.88

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.