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Finding the Third Proportional to 321,796 and 698,950

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Solution

The third proportional to 321,796 and 698,950 is: 1,518,139.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,796 : 698,950 = 698,950 : x
  2. Step 2: Convert to fraction form
    321,796/698,950 = 698,950/x
  3. Step 3: Cross multiply
    321,796x = 698,950 × 698,950
  4. Step 4: Simplify right side
    321,796x = 488,531,102,500
  5. Step 5: Solve for x
    x = 488,531,102,500/321,796
  6. Step 6: Final answer
    x = 1,518,139.14

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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.