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Finding the Third Proportional to 68,692 and 141,796

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Solution

The third proportional to 68,692 and 141,796 is: 292,699.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,692 : 141,796 = 141,796 : x
  2. Step 2: Convert to fraction form
    68,692/141,796 = 141,796/x
  3. Step 3: Cross multiply
    68,692x = 141,796 × 141,796
  4. Step 4: Simplify right side
    68,692x = 20,106,105,616
  5. Step 5: Solve for x
    x = 20,106,105,616/68,692
  6. Step 6: Final answer
    x = 292,699.38

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.