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Finding the Third Proportional to 218,336 and 347,188

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Solution

The third proportional to 218,336 and 347,188 is: 552,082.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,336 : 347,188 = 347,188 : x
  2. Step 2: Convert to fraction form
    218,336/347,188 = 347,188/x
  3. Step 3: Cross multiply
    218,336x = 347,188 × 347,188
  4. Step 4: Simplify right side
    218,336x = 120,539,507,344
  5. Step 5: Solve for x
    x = 120,539,507,344/218,336
  6. Step 6: Final answer
    x = 552,082.60

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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.