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Finding the Third Proportional to 221,818.50 and 347,517

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Solution

The third proportional to 221,818.50 and 347,517 is: 544,445.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,818.50 : 347,517 = 347,517 : x
  2. Step 2: Convert to fraction form
    221,818.50/347,517 = 347,517/x
  3. Step 3: Cross multiply
    221,818.50x = 347,517 × 347,517
  4. Step 4: Simplify right side
    221,818.50x = 120,768,065,289
  5. Step 5: Solve for x
    x = 120,768,065,289/221,818.50
  6. Step 6: Final answer
    x = 544,445.42

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.