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Finding the Third Proportional to 218,342 and 347,196

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Solution

The third proportional to 218,342 and 347,196 is: 552,092.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,342 : 347,196 = 347,196 : x
  2. Step 2: Convert to fraction form
    218,342/347,196 = 347,196/x
  3. Step 3: Cross multiply
    218,342x = 347,196 × 347,196
  4. Step 4: Simplify right side
    218,342x = 120,545,062,416
  5. Step 5: Solve for x
    x = 120,545,062,416/218,342
  6. Step 6: Final answer
    x = 552,092.87

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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.