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Finding the Third Proportional to 54,398 and 115,321

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Solution

The third proportional to 54,398 and 115,321 is: 244,474.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,398 : 115,321 = 115,321 : x
  2. Step 2: Convert to fraction form
    54,398/115,321 = 115,321/x
  3. Step 3: Cross multiply
    54,398x = 115,321 × 115,321
  4. Step 4: Simplify right side
    54,398x = 13,298,933,041
  5. Step 5: Solve for x
    x = 13,298,933,041/54,398
  6. Step 6: Final answer
    x = 244,474.67

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.