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Finding the Third Proportional to 221,756 and 347,470

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Solution

The third proportional to 221,756 and 347,470 is: 544,451.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,756 : 347,470 = 347,470 : x
  2. Step 2: Convert to fraction form
    221,756/347,470 = 347,470/x
  3. Step 3: Cross multiply
    221,756x = 347,470 × 347,470
  4. Step 4: Simplify right side
    221,756x = 120,735,400,900
  5. Step 5: Solve for x
    x = 120,735,400,900/221,756
  6. Step 6: Final answer
    x = 544,451.56

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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.