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Finding the Third Proportional to 201,332 and 282,172

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Solution

The third proportional to 201,332 and 282,172 is: 395,471.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,332 : 282,172 = 282,172 : x
  2. Step 2: Convert to fraction form
    201,332/282,172 = 282,172/x
  3. Step 3: Cross multiply
    201,332x = 282,172 × 282,172
  4. Step 4: Simplify right side
    201,332x = 79,621,037,584
  5. Step 5: Solve for x
    x = 79,621,037,584/201,332
  6. Step 6: Final answer
    x = 395,471.35

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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.