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Finding the Third Proportional to 409,869 and 620,523

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Solution

The third proportional to 409,869 and 620,523 is: 939,443.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,869 : 620,523 = 620,523 : x
  2. Step 2: Convert to fraction form
    409,869/620,523 = 620,523/x
  3. Step 3: Cross multiply
    409,869x = 620,523 × 620,523
  4. Step 4: Simplify right side
    409,869x = 385,048,793,529
  5. Step 5: Solve for x
    x = 385,048,793,529/409,869
  6. Step 6: Final answer
    x = 939,443.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.