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Finding the Third Proportional to 201,410 and 282,340

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Solution

The third proportional to 201,410 and 282,340 is: 395,789.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,410 : 282,340 = 282,340 : x
  2. Step 2: Convert to fraction form
    201,410/282,340 = 282,340/x
  3. Step 3: Cross multiply
    201,410x = 282,340 × 282,340
  4. Step 4: Simplify right side
    201,410x = 79,715,875,600
  5. Step 5: Solve for x
    x = 79,715,875,600/201,410
  6. Step 6: Final answer
    x = 395,789.07

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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.