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Finding the Third Proportional to 521,398.69 and 698,344.03

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Solution

The third proportional to 521,398.69 and 698,344.03 is: 935,338.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,398.69 : 698,344.03 = 698,344.03 : x
  2. Step 2: Convert to fraction form
    521,398.69/698,344.03 = 698,344.03/x
  3. Step 3: Cross multiply
    521,398.69x = 698,344.03 × 698,344.03
  4. Step 4: Simplify right side
    521,398.69x = 487,684,385,982.50
  5. Step 5: Solve for x
    x = 487,684,385,982.50/521,398.69
  6. Step 6: Final answer
    x = 935,338.73

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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.