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Finding the Third Proportional to 201,907 and 298,957

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Solution

The third proportional to 201,907 and 298,957 is: 442,655.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,907 : 298,957 = 298,957 : x
  2. Step 2: Convert to fraction form
    201,907/298,957 = 298,957/x
  3. Step 3: Cross multiply
    201,907x = 298,957 × 298,957
  4. Step 4: Simplify right side
    201,907x = 89,375,287,849
  5. Step 5: Solve for x
    x = 89,375,287,849/201,907
  6. Step 6: Final answer
    x = 442,655.72

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.