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Finding the Third Proportional to 221,807 and 347,500

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Solution

The third proportional to 221,807 and 347,500 is: 544,420.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,807 : 347,500 = 347,500 : x
  2. Step 2: Convert to fraction form
    221,807/347,500 = 347,500/x
  3. Step 3: Cross multiply
    221,807x = 347,500 × 347,500
  4. Step 4: Simplify right side
    221,807x = 120,756,250,000
  5. Step 5: Solve for x
    x = 120,756,250,000/221,807
  6. Step 6: Final answer
    x = 544,420.37

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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.