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Finding the Third Proportional to 18,411 and 39,282

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Solution

The third proportional to 18,411 and 39,282 is: 83,812.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,411 : 39,282 = 39,282 : x
  2. Step 2: Convert to fraction form
    18,411/39,282 = 39,282/x
  3. Step 3: Cross multiply
    18,411x = 39,282 × 39,282
  4. Step 4: Simplify right side
    18,411x = 1,543,075,524
  5. Step 5: Solve for x
    x = 1,543,075,524/18,411
  6. Step 6: Final answer
    x = 83,812.69

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.