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Finding the Third Proportional to 201,917 and 313,537

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Solution

The third proportional to 201,917 and 313,537 is: 486,860.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,917 : 313,537 = 313,537 : x
  2. Step 2: Convert to fraction form
    201,917/313,537 = 313,537/x
  3. Step 3: Cross multiply
    201,917x = 313,537 × 313,537
  4. Step 4: Simplify right side
    201,917x = 98,305,450,369
  5. Step 5: Solve for x
    x = 98,305,450,369/201,917
  6. Step 6: Final answer
    x = 486,860.69

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.