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Finding the Third Proportional to 442,869 and 624,078

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Solution

The third proportional to 442,869 and 624,078 is: 879,432.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,869 : 624,078 = 624,078 : x
  2. Step 2: Convert to fraction form
    442,869/624,078 = 624,078/x
  3. Step 3: Cross multiply
    442,869x = 624,078 × 624,078
  4. Step 4: Simplify right side
    442,869x = 389,473,350,084
  5. Step 5: Solve for x
    x = 389,473,350,084/442,869
  6. Step 6: Final answer
    x = 879,432.41

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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.