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Finding the Third Proportional to 321,720 and 698,736

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Solution

The third proportional to 321,720 and 698,736 is: 1,517,568.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,720 : 698,736 = 698,736 : x
  2. Step 2: Convert to fraction form
    321,720/698,736 = 698,736/x
  3. Step 3: Cross multiply
    321,720x = 698,736 × 698,736
  4. Step 4: Simplify right side
    321,720x = 488,231,997,696
  5. Step 5: Solve for x
    x = 488,231,997,696/321,720
  6. Step 6: Final answer
    x = 1,517,568.06

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.