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Finding the Third Proportional to 201,972 and 312,722

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Solution

The third proportional to 201,972 and 312,722 is: 484,201.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,972 : 312,722 = 312,722 : x
  2. Step 2: Convert to fraction form
    201,972/312,722 = 312,722/x
  3. Step 3: Cross multiply
    201,972x = 312,722 × 312,722
  4. Step 4: Simplify right side
    201,972x = 97,795,049,284
  5. Step 5: Solve for x
    x = 97,795,049,284/201,972
  6. Step 6: Final answer
    x = 484,201.02

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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.