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Finding the Third Proportional to 267,808 and 355,418

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Solution

The third proportional to 267,808 and 355,418 is: 471,688.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,808 : 355,418 = 355,418 : x
  2. Step 2: Convert to fraction form
    267,808/355,418 = 355,418/x
  3. Step 3: Cross multiply
    267,808x = 355,418 × 355,418
  4. Step 4: Simplify right side
    267,808x = 126,321,954,724
  5. Step 5: Solve for x
    x = 126,321,954,724/267,808
  6. Step 6: Final answer
    x = 471,688.50

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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.