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Finding the Third Proportional to 68,207 and 160,781

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Solution

The third proportional to 68,207 and 160,781 is: 379,001.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,207 : 160,781 = 160,781 : x
  2. Step 2: Convert to fraction form
    68,207/160,781 = 160,781/x
  3. Step 3: Cross multiply
    68,207x = 160,781 × 160,781
  4. Step 4: Simplify right side
    68,207x = 25,850,529,961
  5. Step 5: Solve for x
    x = 25,850,529,961/68,207
  6. Step 6: Final answer
    x = 379,001.13

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.