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Finding the Third Proportional to 521,708 and 698,806

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Solution

The third proportional to 521,708 and 698,806 is: 936,021.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,708 : 698,806 = 698,806 : x
  2. Step 2: Convert to fraction form
    521,708/698,806 = 698,806/x
  3. Step 3: Cross multiply
    521,708x = 698,806 × 698,806
  4. Step 4: Simplify right side
    521,708x = 488,329,825,636
  5. Step 5: Solve for x
    x = 488,329,825,636/521,708
  6. Step 6: Final answer
    x = 936,021.35

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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.