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Finding the Third Proportional to 18,140 and 38,458

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Solution

The third proportional to 18,140 and 38,458 is: 81,533.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,140 : 38,458 = 38,458 : x
  2. Step 2: Convert to fraction form
    18,140/38,458 = 38,458/x
  3. Step 3: Cross multiply
    18,140x = 38,458 × 38,458
  4. Step 4: Simplify right side
    18,140x = 1,479,017,764
  5. Step 5: Solve for x
    x = 1,479,017,764/18,140
  6. Step 6: Final answer
    x = 81,533.50

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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.