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Finding the Third Proportional to 194,566.50 and 419,146.88

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Solution

The third proportional to 194,566.50 and 419,146.88 is: 902,951.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,566.50 : 419,146.88 = 419,146.88 : x
  2. Step 2: Convert to fraction form
    194,566.50/419,146.88 = 419,146.88/x
  3. Step 3: Cross multiply
    194,566.50x = 419,146.88 × 419,146.88
  4. Step 4: Simplify right side
    194,566.50x = 175,684,102,822.27
  5. Step 5: Solve for x
    x = 175,684,102,822.27/194,566.50
  6. Step 6: Final answer
    x = 902,951.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.