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Finding the Third Proportional to 394,031 and 624,034

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Solution

The third proportional to 394,031 and 624,034 is: 988,293.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,031 : 624,034 = 624,034 : x
  2. Step 2: Convert to fraction form
    394,031/624,034 = 624,034/x
  3. Step 3: Cross multiply
    394,031x = 624,034 × 624,034
  4. Step 4: Simplify right side
    394,031x = 389,418,433,156
  5. Step 5: Solve for x
    x = 389,418,433,156/394,031
  6. Step 6: Final answer
    x = 988,293.90

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.