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Finding the Third Proportional to 18,427 and 39,482

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Solution

The third proportional to 18,427 and 39,482 is: 84,594.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,427 : 39,482 = 39,482 : x
  2. Step 2: Convert to fraction form
    18,427/39,482 = 39,482/x
  3. Step 3: Cross multiply
    18,427x = 39,482 × 39,482
  4. Step 4: Simplify right side
    18,427x = 1,558,828,324
  5. Step 5: Solve for x
    x = 1,558,828,324/18,427
  6. Step 6: Final answer
    x = 84,594.80

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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.