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Finding the Third Proportional to 18,331.31 and 27,140.06

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Solution

The third proportional to 18,331.31 and 27,140.06 is: 40,181.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,331.31 : 27,140.06 = 27,140.06 : x
  2. Step 2: Convert to fraction form
    18,331.31/27,140.06 = 27,140.06/x
  3. Step 3: Cross multiply
    18,331.31x = 27,140.06 × 27,140.06
  4. Step 4: Simplify right side
    18,331.31x = 736,582,992.50
  5. Step 5: Solve for x
    x = 736,582,992.50/18,331.31
  6. Step 6: Final answer
    x = 40,181.68

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.