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Finding the Third Proportional to 657,218 and 998,124

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Solution

The third proportional to 657,218 and 998,124 is: 1,515,861.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,218 : 998,124 = 998,124 : x
  2. Step 2: Convert to fraction form
    657,218/998,124 = 998,124/x
  3. Step 3: Cross multiply
    657,218x = 998,124 × 998,124
  4. Step 4: Simplify right side
    657,218x = 996,251,519,376
  5. Step 5: Solve for x
    x = 996,251,519,376/657,218
  6. Step 6: Final answer
    x = 1,515,861.59

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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.