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Finding the Third Proportional to 305,741 and 440,381

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Solution

The third proportional to 305,741 and 440,381 is: 634,312.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,741 : 440,381 = 440,381 : x
  2. Step 2: Convert to fraction form
    305,741/440,381 = 440,381/x
  3. Step 3: Cross multiply
    305,741x = 440,381 × 440,381
  4. Step 4: Simplify right side
    305,741x = 193,935,425,161
  5. Step 5: Solve for x
    x = 193,935,425,161/305,741
  6. Step 6: Final answer
    x = 634,312.78

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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.