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Finding the Third Proportional to 305,858 and 449,862

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Solution

The third proportional to 305,858 and 449,862 is: 661,665.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,858 : 449,862 = 449,862 : x
  2. Step 2: Convert to fraction form
    305,858/449,862 = 449,862/x
  3. Step 3: Cross multiply
    305,858x = 449,862 × 449,862
  4. Step 4: Simplify right side
    305,858x = 202,375,819,044
  5. Step 5: Solve for x
    x = 202,375,819,044/305,858
  6. Step 6: Final answer
    x = 661,665.93

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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.