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Finding the Third Proportional to 71,811 and 153,395

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Solution

The third proportional to 71,811 and 153,395 is: 327,666.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,811 : 153,395 = 153,395 : x
  2. Step 2: Convert to fraction form
    71,811/153,395 = 153,395/x
  3. Step 3: Cross multiply
    71,811x = 153,395 × 153,395
  4. Step 4: Simplify right side
    71,811x = 23,530,026,025
  5. Step 5: Solve for x
    x = 23,530,026,025/71,811
  6. Step 6: Final answer
    x = 327,666.04

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.