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Finding the Third Proportional to 308,367 and 440,407.13

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Solution

The third proportional to 308,367 and 440,407.13 is: 628,985.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,367 : 440,407.13 = 440,407.13 : x
  2. Step 2: Convert to fraction form
    308,367/440,407.13 = 440,407.13/x
  3. Step 3: Cross multiply
    308,367x = 440,407.13 × 440,407.13
  4. Step 4: Simplify right side
    308,367x = 193,958,435,750.77
  5. Step 5: Solve for x
    x = 193,958,435,750.77/308,367
  6. Step 6: Final answer
    x = 628,985.71

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.