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Finding the Third Proportional to 394,056 and 624,072

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Solution

The third proportional to 394,056 and 624,072 is: 988,351.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,056 : 624,072 = 624,072 : x
  2. Step 2: Convert to fraction form
    394,056/624,072 = 624,072/x
  3. Step 3: Cross multiply
    394,056x = 624,072 × 624,072
  4. Step 4: Simplify right side
    394,056x = 389,465,861,184
  5. Step 5: Solve for x
    x = 389,465,861,184/394,056
  6. Step 6: Final answer
    x = 988,351.56

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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.