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Finding the Third Proportional to 392,232 and 856,394

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Solution

The third proportional to 392,232 and 856,394 is: 1,869,838.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,232 : 856,394 = 856,394 : x
  2. Step 2: Convert to fraction form
    392,232/856,394 = 856,394/x
  3. Step 3: Cross multiply
    392,232x = 856,394 × 856,394
  4. Step 4: Simplify right side
    392,232x = 733,410,683,236
  5. Step 5: Solve for x
    x = 733,410,683,236/392,232
  6. Step 6: Final answer
    x = 1,869,838.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.