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Finding the Third Proportional to 305,823 and 449,721

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Solution

The third proportional to 305,823 and 449,721 is: 661,326.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,823 : 449,721 = 449,721 : x
  2. Step 2: Convert to fraction form
    305,823/449,721 = 449,721/x
  3. Step 3: Cross multiply
    305,823x = 449,721 × 449,721
  4. Step 4: Simplify right side
    305,823x = 202,248,977,841
  5. Step 5: Solve for x
    x = 202,248,977,841/305,823
  6. Step 6: Final answer
    x = 661,326.90

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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.