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Finding the Third Proportional to 194,090 and 308,631

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Solution

The third proportional to 194,090 and 308,631 is: 490,767.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,090 : 308,631 = 308,631 : x
  2. Step 2: Convert to fraction form
    194,090/308,631 = 308,631/x
  3. Step 3: Cross multiply
    194,090x = 308,631 × 308,631
  4. Step 4: Simplify right side
    194,090x = 95,253,094,161
  5. Step 5: Solve for x
    x = 95,253,094,161/194,090
  6. Step 6: Final answer
    x = 490,767.66

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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.