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Finding the Third Proportional to 310,600 and 661,872

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Solution

The third proportional to 310,600 and 661,872 is: 1,410,413.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,600 : 661,872 = 661,872 : x
  2. Step 2: Convert to fraction form
    310,600/661,872 = 661,872/x
  3. Step 3: Cross multiply
    310,600x = 661,872 × 661,872
  4. Step 4: Simplify right side
    310,600x = 438,074,544,384
  5. Step 5: Solve for x
    x = 438,074,544,384/310,600
  6. Step 6: Final answer
    x = 1,410,413.86

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.