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Finding the Third Proportional to 218,418 and 347,299

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Solution

The third proportional to 218,418 and 347,299 is: 552,228.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,418 : 347,299 = 347,299 : x
  2. Step 2: Convert to fraction form
    218,418/347,299 = 347,299/x
  3. Step 3: Cross multiply
    218,418x = 347,299 × 347,299
  4. Step 4: Simplify right side
    218,418x = 120,616,595,401
  5. Step 5: Solve for x
    x = 120,616,595,401/218,418
  6. Step 6: Final answer
    x = 552,228.28

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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.