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Finding the Third Proportional to 445,184 and 667,648

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Solution

The third proportional to 445,184 and 667,648 is: 1,001,280.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,184 : 667,648 = 667,648 : x
  2. Step 2: Convert to fraction form
    445,184/667,648 = 667,648/x
  3. Step 3: Cross multiply
    445,184x = 667,648 × 667,648
  4. Step 4: Simplify right side
    445,184x = 445,753,851,904
  5. Step 5: Solve for x
    x = 445,753,851,904/445,184
  6. Step 6: Final answer
    x = 1,001,280.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.