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Finding the Third Proportional to 71,811 and 167,719.50

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Solution

The third proportional to 71,811 and 167,719.50 is: 391,720.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,811 : 167,719.50 = 167,719.50 : x
  2. Step 2: Convert to fraction form
    71,811/167,719.50 = 167,719.50/x
  3. Step 3: Cross multiply
    71,811x = 167,719.50 × 167,719.50
  4. Step 4: Simplify right side
    71,811x = 28,129,830,680.25
  5. Step 5: Solve for x
    x = 28,129,830,680.25/71,811
  6. Step 6: Final answer
    x = 391,720.36

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.