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Finding the Third Proportional to 207,981 and 308,912

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Solution

The third proportional to 207,981 and 308,912 is: 458,823.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,981 : 308,912 = 308,912 : x
  2. Step 2: Convert to fraction form
    207,981/308,912 = 308,912/x
  3. Step 3: Cross multiply
    207,981x = 308,912 × 308,912
  4. Step 4: Simplify right side
    207,981x = 95,426,623,744
  5. Step 5: Solve for x
    x = 95,426,623,744/207,981
  6. Step 6: Final answer
    x = 458,823.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.