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Finding the Third Proportional to 3,211,123.50 and 6,737,478.75

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Solution

The third proportional to 3,211,123.50 and 6,737,478.75 is: 14,136,366.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,211,123.50 : 6,737,478.75 = 6,737,478.75 : x
  2. Step 2: Convert to fraction form
    3,211,123.50/6,737,478.75 = 6,737,478.75/x
  3. Step 3: Cross multiply
    3,211,123.50x = 6,737,478.75 × 6,737,478.75
  4. Step 4: Simplify right side
    3,211,123.50x = 45,393,619,906,701.56
  5. Step 5: Solve for x
    x = 45,393,619,906,701.56/3,211,123.50
  6. Step 6: Final answer
    x = 14,136,366.88

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.