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Finding the Third Proportional to 161,820.50 and 251,250.75

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Solution

The third proportional to 161,820.50 and 251,250.75 is: 390,104.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,820.50 : 251,250.75 = 251,250.75 : x
  2. Step 2: Convert to fraction form
    161,820.50/251,250.75 = 251,250.75/x
  3. Step 3: Cross multiply
    161,820.50x = 251,250.75 × 251,250.75
  4. Step 4: Simplify right side
    161,820.50x = 63,126,939,375.56
  5. Step 5: Solve for x
    x = 63,126,939,375.56/161,820.50
  6. Step 6: Final answer
    x = 390,104.71

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