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Finding the Third Proportional to 218,321 and 347,163

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Solution

The third proportional to 218,321 and 347,163 is: 552,041.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,321 : 347,163 = 347,163 : x
  2. Step 2: Convert to fraction form
    218,321/347,163 = 347,163/x
  3. Step 3: Cross multiply
    218,321x = 347,163 × 347,163
  4. Step 4: Simplify right side
    218,321x = 120,522,148,569
  5. Step 5: Solve for x
    x = 120,522,148,569/218,321
  6. Step 6: Final answer
    x = 552,041.02

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.