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Finding the Third Proportional to 196,780.50 and 311,103

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Solution

The third proportional to 196,780.50 and 311,103 is: 491,842.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,780.50 : 311,103 = 311,103 : x
  2. Step 2: Convert to fraction form
    196,780.50/311,103 = 311,103/x
  3. Step 3: Cross multiply
    196,780.50x = 311,103 × 311,103
  4. Step 4: Simplify right side
    196,780.50x = 96,785,076,609
  5. Step 5: Solve for x
    x = 96,785,076,609/196,780.50
  6. Step 6: Final answer
    x = 491,842.82

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.