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Finding the Third Proportional to 218,344 and 347,199

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Solution

The third proportional to 218,344 and 347,199 is: 552,097.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,344 : 347,199 = 347,199 : x
  2. Step 2: Convert to fraction form
    218,344/347,199 = 347,199/x
  3. Step 3: Cross multiply
    218,344x = 347,199 × 347,199
  4. Step 4: Simplify right side
    218,344x = 120,547,145,601
  5. Step 5: Solve for x
    x = 120,547,145,601/218,344
  6. Step 6: Final answer
    x = 552,097.36

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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.