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Finding the Third Proportional to 305,778 and 449,680

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Solution

The third proportional to 305,778 and 449,680 is: 661,303.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,778 : 449,680 = 449,680 : x
  2. Step 2: Convert to fraction form
    305,778/449,680 = 449,680/x
  3. Step 3: Cross multiply
    305,778x = 449,680 × 449,680
  4. Step 4: Simplify right side
    305,778x = 202,212,102,400
  5. Step 5: Solve for x
    x = 202,212,102,400/305,778
  6. Step 6: Final answer
    x = 661,303.63

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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.