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Finding the Third Proportional to 521,702 and 698,799

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Solution

The third proportional to 521,702 and 698,799 is: 936,013.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,702 : 698,799 = 698,799 : x
  2. Step 2: Convert to fraction form
    521,702/698,799 = 698,799/x
  3. Step 3: Cross multiply
    521,702x = 698,799 × 698,799
  4. Step 4: Simplify right side
    521,702x = 488,320,042,401
  5. Step 5: Solve for x
    x = 488,320,042,401/521,702
  6. Step 6: Final answer
    x = 936,013.36

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.