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Finding the Third Proportional to 291,651 and 449,913

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Solution

The third proportional to 291,651 and 449,913 is: 694,054.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,651 : 449,913 = 449,913 : x
  2. Step 2: Convert to fraction form
    291,651/449,913 = 449,913/x
  3. Step 3: Cross multiply
    291,651x = 449,913 × 449,913
  4. Step 4: Simplify right side
    291,651x = 202,421,707,569
  5. Step 5: Solve for x
    x = 202,421,707,569/291,651
  6. Step 6: Final answer
    x = 694,054.56

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.