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Finding the Third Proportional to 86,942 and 201,286

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Solution

The third proportional to 86,942 and 201,286 is: 466,012.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,942 : 201,286 = 201,286 : x
  2. Step 2: Convert to fraction form
    86,942/201,286 = 201,286/x
  3. Step 3: Cross multiply
    86,942x = 201,286 × 201,286
  4. Step 4: Simplify right side
    86,942x = 40,516,053,796
  5. Step 5: Solve for x
    x = 40,516,053,796/86,942
  6. Step 6: Final answer
    x = 466,012.44

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.