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Finding the Third Proportional to 68,904 and 140,732

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Solution

The third proportional to 68,904 and 140,732 is: 287,436.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,904 : 140,732 = 140,732 : x
  2. Step 2: Convert to fraction form
    68,904/140,732 = 140,732/x
  3. Step 3: Cross multiply
    68,904x = 140,732 × 140,732
  4. Step 4: Simplify right side
    68,904x = 19,805,495,824
  5. Step 5: Solve for x
    x = 19,805,495,824/68,904
  6. Step 6: Final answer
    x = 287,436.08

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.