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Finding the Third Proportional to 305,939 and 440,643

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Solution

The third proportional to 305,939 and 440,643 is: 634,656.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,939 : 440,643 = 440,643 : x
  2. Step 2: Convert to fraction form
    305,939/440,643 = 440,643/x
  3. Step 3: Cross multiply
    305,939x = 440,643 × 440,643
  4. Step 4: Simplify right side
    305,939x = 194,166,253,449
  5. Step 5: Solve for x
    x = 194,166,253,449/305,939
  6. Step 6: Final answer
    x = 634,656.76

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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.