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Finding the Third Proportional to 207,984 and 308,917

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Solution

The third proportional to 207,984 and 308,917 is: 458,831.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,984 : 308,917 = 308,917 : x
  2. Step 2: Convert to fraction form
    207,984/308,917 = 308,917/x
  3. Step 3: Cross multiply
    207,984x = 308,917 × 308,917
  4. Step 4: Simplify right side
    207,984x = 95,429,712,889
  5. Step 5: Solve for x
    x = 95,429,712,889/207,984
  6. Step 6: Final answer
    x = 458,831.99

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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.