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Finding the Third Proportional to 320,841 and 698,301

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Solution

The third proportional to 320,841 and 698,301 is: 1,519,831.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,841 : 698,301 = 698,301 : x
  2. Step 2: Convert to fraction form
    320,841/698,301 = 698,301/x
  3. Step 3: Cross multiply
    320,841x = 698,301 × 698,301
  4. Step 4: Simplify right side
    320,841x = 487,624,286,601
  5. Step 5: Solve for x
    x = 487,624,286,601/320,841
  6. Step 6: Final answer
    x = 1,519,831.59

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.