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Finding the Third Proportional to 18,312 and 40,592

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Solution

The third proportional to 18,312 and 40,592 is: 89,979.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,312 : 40,592 = 40,592 : x
  2. Step 2: Convert to fraction form
    18,312/40,592 = 40,592/x
  3. Step 3: Cross multiply
    18,312x = 40,592 × 40,592
  4. Step 4: Simplify right side
    18,312x = 1,647,710,464
  5. Step 5: Solve for x
    x = 1,647,710,464/18,312
  6. Step 6: Final answer
    x = 89,979.82

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.