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Finding the Third Proportional to 201,920 and 316,794

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Solution

The third proportional to 201,920 and 316,794 is: 497,020.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,920 : 316,794 = 316,794 : x
  2. Step 2: Convert to fraction form
    201,920/316,794 = 316,794/x
  3. Step 3: Cross multiply
    201,920x = 316,794 × 316,794
  4. Step 4: Simplify right side
    201,920x = 100,358,438,436
  5. Step 5: Solve for x
    x = 100,358,438,436/201,920
  6. Step 6: Final answer
    x = 497,020.79

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.