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Finding the Third Proportional to 323,151 and 661,974

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Solution

The third proportional to 323,151 and 661,974 is: 1,356,052.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,151 : 661,974 = 661,974 : x
  2. Step 2: Convert to fraction form
    323,151/661,974 = 661,974/x
  3. Step 3: Cross multiply
    323,151x = 661,974 × 661,974
  4. Step 4: Simplify right side
    323,151x = 438,209,576,676
  5. Step 5: Solve for x
    x = 438,209,576,676/323,151
  6. Step 6: Final answer
    x = 1,356,052.05

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.