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Finding the Third Proportional to 442,920 and 624,144

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Solution

The third proportional to 442,920 and 624,144 is: 879,517.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,920 : 624,144 = 624,144 : x
  2. Step 2: Convert to fraction form
    442,920/624,144 = 624,144/x
  3. Step 3: Cross multiply
    442,920x = 624,144 × 624,144
  4. Step 4: Simplify right side
    442,920x = 389,555,732,736
  5. Step 5: Solve for x
    x = 389,555,732,736/442,920
  6. Step 6: Final answer
    x = 879,517.14

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.