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Finding the Third Proportional to 394,089 and 624,121.50

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Solution

The third proportional to 394,089 and 624,121.50 is: 988,425.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,089 : 624,121.50 = 624,121.50 : x
  2. Step 2: Convert to fraction form
    394,089/624,121.50 = 624,121.50/x
  3. Step 3: Cross multiply
    394,089x = 624,121.50 × 624,121.50
  4. Step 4: Simplify right side
    394,089x = 389,527,646,762.25
  5. Step 5: Solve for x
    x = 389,527,646,762.25/394,089
  6. Step 6: Final answer
    x = 988,425.58

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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.