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Finding the Third Proportional to 194,808 and 311,212

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Solution

The third proportional to 194,808 and 311,212 is: 497,171.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,808 : 311,212 = 311,212 : x
  2. Step 2: Convert to fraction form
    194,808/311,212 = 311,212/x
  3. Step 3: Cross multiply
    194,808x = 311,212 × 311,212
  4. Step 4: Simplify right side
    194,808x = 96,852,908,944
  5. Step 5: Solve for x
    x = 96,852,908,944/194,808
  6. Step 6: Final answer
    x = 497,171.11

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.