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Finding the Third Proportional to 305,867 and 449,875

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Solution

The third proportional to 305,867 and 449,875 is: 661,684.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,867 : 449,875 = 449,875 : x
  2. Step 2: Convert to fraction form
    305,867/449,875 = 449,875/x
  3. Step 3: Cross multiply
    305,867x = 449,875 × 449,875
  4. Step 4: Simplify right side
    305,867x = 202,387,515,625
  5. Step 5: Solve for x
    x = 202,387,515,625/305,867
  6. Step 6: Final answer
    x = 661,684.70

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.