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Finding the Third Proportional to 221,760 and 347,407.50

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Solution

The third proportional to 221,760 and 347,407.50 is: 544,245.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,760 : 347,407.50 = 347,407.50 : x
  2. Step 2: Convert to fraction form
    221,760/347,407.50 = 347,407.50/x
  3. Step 3: Cross multiply
    221,760x = 347,407.50 × 347,407.50
  4. Step 4: Simplify right side
    221,760x = 120,691,971,056.25
  5. Step 5: Solve for x
    x = 120,691,971,056.25/221,760
  6. Step 6: Final answer
    x = 544,245.90

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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.