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Finding the Third Proportional to 83,141 and 201,276

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Solution

The third proportional to 83,141 and 201,276 is: 487,268.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,141 : 201,276 = 201,276 : x
  2. Step 2: Convert to fraction form
    83,141/201,276 = 201,276/x
  3. Step 3: Cross multiply
    83,141x = 201,276 × 201,276
  4. Step 4: Simplify right side
    83,141x = 40,512,028,176
  5. Step 5: Solve for x
    x = 40,512,028,176/83,141
  6. Step 6: Final answer
    x = 487,268.95

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.