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Finding the Third Proportional to 291,352 and 633,977

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Solution

The third proportional to 291,352 and 633,977 is: 1,379,523.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,352 : 633,977 = 633,977 : x
  2. Step 2: Convert to fraction form
    291,352/633,977 = 633,977/x
  3. Step 3: Cross multiply
    291,352x = 633,977 × 633,977
  4. Step 4: Simplify right side
    291,352x = 401,926,836,529
  5. Step 5: Solve for x
    x = 401,926,836,529/291,352
  6. Step 6: Final answer
    x = 1,379,523.18

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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.