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Finding the Third Proportional to 196,331 and 311,385

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Solution

The third proportional to 196,331 and 311,385 is: 493,863.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,331 : 311,385 = 311,385 : x
  2. Step 2: Convert to fraction form
    196,331/311,385 = 311,385/x
  3. Step 3: Cross multiply
    196,331x = 311,385 × 311,385
  4. Step 4: Simplify right side
    196,331x = 96,960,618,225
  5. Step 5: Solve for x
    x = 96,960,618,225/196,331
  6. Step 6: Final answer
    x = 493,863.01

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.