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Finding the Third Proportional to 18,368 and 40,012

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Solution

The third proportional to 18,368 and 40,012 is: 87,160.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,368 : 40,012 = 40,012 : x
  2. Step 2: Convert to fraction form
    18,368/40,012 = 40,012/x
  3. Step 3: Cross multiply
    18,368x = 40,012 × 40,012
  4. Step 4: Simplify right side
    18,368x = 1,600,960,144
  5. Step 5: Solve for x
    x = 1,600,960,144/18,368
  6. Step 6: Final answer
    x = 87,160.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.