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Finding the Third Proportional to 201,982 and 313,638

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Solution

The third proportional to 201,982 and 313,638 is: 487,017.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,982 : 313,638 = 313,638 : x
  2. Step 2: Convert to fraction form
    201,982/313,638 = 313,638/x
  3. Step 3: Cross multiply
    201,982x = 313,638 × 313,638
  4. Step 4: Simplify right side
    201,982x = 98,368,795,044
  5. Step 5: Solve for x
    x = 98,368,795,044/201,982
  6. Step 6: Final answer
    x = 487,017.63

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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.