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Finding the Third Proportional to 109,782 and 224,343

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Solution

The third proportional to 109,782 and 224,343 is: 458,452.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,782 : 224,343 = 224,343 : x
  2. Step 2: Convert to fraction form
    109,782/224,343 = 224,343/x
  3. Step 3: Cross multiply
    109,782x = 224,343 × 224,343
  4. Step 4: Simplify right side
    109,782x = 50,329,781,649
  5. Step 5: Solve for x
    x = 50,329,781,649/109,782
  6. Step 6: Final answer
    x = 458,452.04

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.