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Finding the Third Proportional to 321,708 and 698,712

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Solution

The third proportional to 321,708 and 698,712 is: 1,517,520.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,708 : 698,712 = 698,712 : x
  2. Step 2: Convert to fraction form
    321,708/698,712 = 698,712/x
  3. Step 3: Cross multiply
    321,708x = 698,712 × 698,712
  4. Step 4: Simplify right side
    321,708x = 488,198,458,944
  5. Step 5: Solve for x
    x = 488,198,458,944/321,708
  6. Step 6: Final answer
    x = 1,517,520.42

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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.