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Finding the Third Proportional to 421,185 and 994,274.50

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Solution

The third proportional to 421,185 and 994,274.50 is: 2,347,143.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,185 : 994,274.50 = 994,274.50 : x
  2. Step 2: Convert to fraction form
    421,185/994,274.50 = 994,274.50/x
  3. Step 3: Cross multiply
    421,185x = 994,274.50 × 994,274.50
  4. Step 4: Simplify right side
    421,185x = 988,581,781,350.25
  5. Step 5: Solve for x
    x = 988,581,781,350.25/421,185
  6. Step 6: Final answer
    x = 2,347,143.85

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.