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Finding the Third Proportional to 291,612 and 606,491

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Solution

The third proportional to 291,612 and 606,491 is: 1,261,372.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,612 : 606,491 = 606,491 : x
  2. Step 2: Convert to fraction form
    291,612/606,491 = 606,491/x
  3. Step 3: Cross multiply
    291,612x = 606,491 × 606,491
  4. Step 4: Simplify right side
    291,612x = 367,831,333,081
  5. Step 5: Solve for x
    x = 367,831,333,081/291,612
  6. Step 6: Final answer
    x = 1,261,372.42

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.