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Finding the Third Proportional to 201,817 and 312,474

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Solution

The third proportional to 201,817 and 312,474 is: 483,804.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,817 : 312,474 = 312,474 : x
  2. Step 2: Convert to fraction form
    201,817/312,474 = 312,474/x
  3. Step 3: Cross multiply
    201,817x = 312,474 × 312,474
  4. Step 4: Simplify right side
    201,817x = 97,640,000,676
  5. Step 5: Solve for x
    x = 97,640,000,676/201,817
  6. Step 6: Final answer
    x = 483,804.64

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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.