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Finding the Third Proportional to 308,971.50 and 467,811

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Solution

The third proportional to 308,971.50 and 467,811 is: 708,308.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,971.50 : 467,811 = 467,811 : x
  2. Step 2: Convert to fraction form
    308,971.50/467,811 = 467,811/x
  3. Step 3: Cross multiply
    308,971.50x = 467,811 × 467,811
  4. Step 4: Simplify right side
    308,971.50x = 218,847,131,721
  5. Step 5: Solve for x
    x = 218,847,131,721/308,971.50
  6. Step 6: Final answer
    x = 708,308.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.