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Finding the Third Proportional to 161,820.75 and 251,251.25

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Solution

The third proportional to 161,820.75 and 251,251.25 is: 390,105.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,820.75 : 251,251.25 = 251,251.25 : x
  2. Step 2: Convert to fraction form
    161,820.75/251,251.25 = 251,251.25/x
  3. Step 3: Cross multiply
    161,820.75x = 251,251.25 × 251,251.25
  4. Step 4: Simplify right side
    161,820.75x = 63,127,190,626.56
  5. Step 5: Solve for x
    x = 63,127,190,626.56/161,820.75
  6. Step 6: Final answer
    x = 390,105.66

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.