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Finding the Third Proportional to 207,905 and 316,232

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Solution

The third proportional to 207,905 and 316,232 is: 481,001.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,905 : 316,232 = 316,232 : x
  2. Step 2: Convert to fraction form
    207,905/316,232 = 316,232/x
  3. Step 3: Cross multiply
    207,905x = 316,232 × 316,232
  4. Step 4: Simplify right side
    207,905x = 100,002,677,824
  5. Step 5: Solve for x
    x = 100,002,677,824/207,905
  6. Step 6: Final answer
    x = 481,001.79

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.