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Finding the Third Proportional to 201,062 and 306,311

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Solution

The third proportional to 201,062 and 306,311 is: 466,654.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,062 : 306,311 = 306,311 : x
  2. Step 2: Convert to fraction form
    201,062/306,311 = 306,311/x
  3. Step 3: Cross multiply
    201,062x = 306,311 × 306,311
  4. Step 4: Simplify right side
    201,062x = 93,826,428,721
  5. Step 5: Solve for x
    x = 93,826,428,721/201,062
  6. Step 6: Final answer
    x = 466,654.21

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.