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Finding the Third Proportional to 18,284 and 39,158

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Solution

The third proportional to 18,284 and 39,158 is: 83,862.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,284 : 39,158 = 39,158 : x
  2. Step 2: Convert to fraction form
    18,284/39,158 = 39,158/x
  3. Step 3: Cross multiply
    18,284x = 39,158 × 39,158
  4. Step 4: Simplify right side
    18,284x = 1,533,348,964
  5. Step 5: Solve for x
    x = 1,533,348,964/18,284
  6. Step 6: Final answer
    x = 83,862.88

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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.