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Finding the Third Proportional to 657,221 and 998,129

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Solution

The third proportional to 657,221 and 998,129 is: 1,515,869.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,221 : 998,129 = 998,129 : x
  2. Step 2: Convert to fraction form
    657,221/998,129 = 998,129/x
  3. Step 3: Cross multiply
    657,221x = 998,129 × 998,129
  4. Step 4: Simplify right side
    657,221x = 996,261,500,641
  5. Step 5: Solve for x
    x = 996,261,500,641/657,221
  6. Step 6: Final answer
    x = 1,515,869.85

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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.