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Finding the Third Proportional to 38,054 and 81,389

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Solution

The third proportional to 38,054 and 81,389 is: 174,072.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,054 : 81,389 = 81,389 : x
  2. Step 2: Convert to fraction form
    38,054/81,389 = 81,389/x
  3. Step 3: Cross multiply
    38,054x = 81,389 × 81,389
  4. Step 4: Simplify right side
    38,054x = 6,624,169,321
  5. Step 5: Solve for x
    x = 6,624,169,321/38,054
  6. Step 6: Final answer
    x = 174,072.88

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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.