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Finding the Third Proportional to 201,670 and 282,638

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Solution

The third proportional to 201,670 and 282,638 is: 396,113.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,670 : 282,638 = 282,638 : x
  2. Step 2: Convert to fraction form
    201,670/282,638 = 282,638/x
  3. Step 3: Cross multiply
    201,670x = 282,638 × 282,638
  4. Step 4: Simplify right side
    201,670x = 79,884,239,044
  5. Step 5: Solve for x
    x = 79,884,239,044/201,670
  6. Step 6: Final answer
    x = 396,113.65

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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.