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Finding the Third Proportional to 201,729 and 301,408

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Solution

The third proportional to 201,729 and 301,408 is: 450,340.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,729 : 301,408 = 301,408 : x
  2. Step 2: Convert to fraction form
    201,729/301,408 = 301,408/x
  3. Step 3: Cross multiply
    201,729x = 301,408 × 301,408
  4. Step 4: Simplify right side
    201,729x = 90,846,782,464
  5. Step 5: Solve for x
    x = 90,846,782,464/201,729
  6. Step 6: Final answer
    x = 450,340.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.