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Finding the Third Proportional to 291,086 and 633,427

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Solution

The third proportional to 291,086 and 633,427 is: 1,378,389.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,086 : 633,427 = 633,427 : x
  2. Step 2: Convert to fraction form
    291,086/633,427 = 633,427/x
  3. Step 3: Cross multiply
    291,086x = 633,427 × 633,427
  4. Step 4: Simplify right side
    291,086x = 401,229,764,329
  5. Step 5: Solve for x
    x = 401,229,764,329/291,086
  6. Step 6: Final answer
    x = 1,378,389.08

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.