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Finding the Third Proportional to 367,872 and 806,400

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Solution

The third proportional to 367,872 and 806,400 is: 1,767,682.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,872 : 806,400 = 806,400 : x
  2. Step 2: Convert to fraction form
    367,872/806,400 = 806,400/x
  3. Step 3: Cross multiply
    367,872x = 806,400 × 806,400
  4. Step 4: Simplify right side
    367,872x = 650,280,960,000
  5. Step 5: Solve for x
    x = 650,280,960,000/367,872
  6. Step 6: Final answer
    x = 1,767,682.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.