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Finding the Third Proportional to 68,902 and 140,726

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Solution

The third proportional to 68,902 and 140,726 is: 287,419.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,902 : 140,726 = 140,726 : x
  2. Step 2: Convert to fraction form
    68,902/140,726 = 140,726/x
  3. Step 3: Cross multiply
    68,902x = 140,726 × 140,726
  4. Step 4: Simplify right side
    68,902x = 19,803,807,076
  5. Step 5: Solve for x
    x = 19,803,807,076/68,902
  6. Step 6: Final answer
    x = 287,419.92

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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.