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Finding the Third Proportional to 392,865 and 609,409.50

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Solution

The third proportional to 392,865 and 609,409.50 is: 945,311.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,865 : 609,409.50 = 609,409.50 : x
  2. Step 2: Convert to fraction form
    392,865/609,409.50 = 609,409.50/x
  3. Step 3: Cross multiply
    392,865x = 609,409.50 × 609,409.50
  4. Step 4: Simplify right side
    392,865x = 371,379,938,690.25
  5. Step 5: Solve for x
    x = 371,379,938,690.25/392,865
  6. Step 6: Final answer
    x = 945,311.85

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.