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Finding the Third Proportional to 68,896 and 140,714

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Solution

The third proportional to 68,896 and 140,714 is: 287,395.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,896 : 140,714 = 140,714 : x
  2. Step 2: Convert to fraction form
    68,896/140,714 = 140,714/x
  3. Step 3: Cross multiply
    68,896x = 140,714 × 140,714
  4. Step 4: Simplify right side
    68,896x = 19,800,429,796
  5. Step 5: Solve for x
    x = 19,800,429,796/68,896
  6. Step 6: Final answer
    x = 287,395.93

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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.