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Finding the Third Proportional to 305,943.75 and 440,650.13

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Solution

The third proportional to 305,943.75 and 440,650.13 is: 634,667.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,943.75 : 440,650.13 = 440,650.13 : x
  2. Step 2: Convert to fraction form
    305,943.75/440,650.13 = 440,650.13/x
  3. Step 3: Cross multiply
    305,943.75x = 440,650.13 × 440,650.13
  4. Step 4: Simplify right side
    305,943.75x = 194,172,532,662.52
  5. Step 5: Solve for x
    x = 194,172,532,662.52/305,943.75
  6. Step 6: Final answer
    x = 634,667.43

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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.