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Finding the Third Proportional to 657,215 and 998,121

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Solution

The third proportional to 657,215 and 998,121 is: 1,515,859.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,215 : 998,121 = 998,121 : x
  2. Step 2: Convert to fraction form
    657,215/998,121 = 998,121/x
  3. Step 3: Cross multiply
    657,215x = 998,121 × 998,121
  4. Step 4: Simplify right side
    657,215x = 996,245,530,641
  5. Step 5: Solve for x
    x = 996,245,530,641/657,215
  6. Step 6: Final answer
    x = 1,515,859.39

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.