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Finding the Third Proportional to 657,213 and 998,118

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Solution

The third proportional to 657,213 and 998,118 is: 1,515,854.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,213 : 998,118 = 998,118 : x
  2. Step 2: Convert to fraction form
    657,213/998,118 = 998,118/x
  3. Step 3: Cross multiply
    657,213x = 998,118 × 998,118
  4. Step 4: Simplify right side
    657,213x = 996,239,541,924
  5. Step 5: Solve for x
    x = 996,239,541,924/657,213
  6. Step 6: Final answer
    x = 1,515,854.89

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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.