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Finding the Third Proportional to 305,740 and 440,380

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Solution

The third proportional to 305,740 and 440,380 is: 634,311.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,740 : 440,380 = 440,380 : x
  2. Step 2: Convert to fraction form
    305,740/440,380 = 440,380/x
  3. Step 3: Cross multiply
    305,740x = 440,380 × 440,380
  4. Step 4: Simplify right side
    305,740x = 193,934,544,400
  5. Step 5: Solve for x
    x = 193,934,544,400/305,740
  6. Step 6: Final answer
    x = 634,311.98

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.