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Finding the Third Proportional to 291,648 and 449,889

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Solution

The third proportional to 291,648 and 449,889 is: 693,987.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,648 : 449,889 = 449,889 : x
  2. Step 2: Convert to fraction form
    291,648/449,889 = 449,889/x
  3. Step 3: Cross multiply
    291,648x = 449,889 × 449,889
  4. Step 4: Simplify right side
    291,648x = 202,400,112,321
  5. Step 5: Solve for x
    x = 202,400,112,321/291,648
  6. Step 6: Final answer
    x = 693,987.66

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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.