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Finding the Third Proportional to 267,800 and 355,407

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Solution

The third proportional to 267,800 and 355,407 is: 471,673.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,800 : 355,407 = 355,407 : x
  2. Step 2: Convert to fraction form
    267,800/355,407 = 355,407/x
  3. Step 3: Cross multiply
    267,800x = 355,407 × 355,407
  4. Step 4: Simplify right side
    267,800x = 126,314,135,649
  5. Step 5: Solve for x
    x = 126,314,135,649/267,800
  6. Step 6: Final answer
    x = 471,673.40

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.