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Finding the Third Proportional to 201,429 and 282,366

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Solution

The third proportional to 201,429 and 282,366 is: 395,824.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,429 : 282,366 = 282,366 : x
  2. Step 2: Convert to fraction form
    201,429/282,366 = 282,366/x
  3. Step 3: Cross multiply
    201,429x = 282,366 × 282,366
  4. Step 4: Simplify right side
    201,429x = 79,730,557,956
  5. Step 5: Solve for x
    x = 79,730,557,956/201,429
  6. Step 6: Final answer
    x = 395,824.62

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.