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Finding the Third Proportional to 221,763 and 347,411

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Solution

The third proportional to 221,763 and 347,411 is: 544,249.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,763 : 347,411 = 347,411 : x
  2. Step 2: Convert to fraction form
    221,763/347,411 = 347,411/x
  3. Step 3: Cross multiply
    221,763x = 347,411 × 347,411
  4. Step 4: Simplify right side
    221,763x = 120,694,402,921
  5. Step 5: Solve for x
    x = 120,694,402,921/221,763
  6. Step 6: Final answer
    x = 544,249.50

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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.