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Finding the Third Proportional to 103,418 and 223,340

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Solution

The third proportional to 103,418 and 223,340 is: 482,321.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,418 : 223,340 = 223,340 : x
  2. Step 2: Convert to fraction form
    103,418/223,340 = 223,340/x
  3. Step 3: Cross multiply
    103,418x = 223,340 × 223,340
  4. Step 4: Simplify right side
    103,418x = 49,880,755,600
  5. Step 5: Solve for x
    x = 49,880,755,600/103,418
  6. Step 6: Final answer
    x = 482,321.80

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.