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Finding the Third Proportional to 88,942.50 and 194,301

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Solution

The third proportional to 88,942.50 and 194,301 is: 424,463.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,942.50 : 194,301 = 194,301 : x
  2. Step 2: Convert to fraction form
    88,942.50/194,301 = 194,301/x
  3. Step 3: Cross multiply
    88,942.50x = 194,301 × 194,301
  4. Step 4: Simplify right side
    88,942.50x = 37,752,878,601
  5. Step 5: Solve for x
    x = 37,752,878,601/88,942.50
  6. Step 6: Final answer
    x = 424,463.88

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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.