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Finding the Third Proportional to 68,151 and 139,703

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Solution

The third proportional to 68,151 and 139,703 is: 286,377.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,151 : 139,703 = 139,703 : x
  2. Step 2: Convert to fraction form
    68,151/139,703 = 139,703/x
  3. Step 3: Cross multiply
    68,151x = 139,703 × 139,703
  4. Step 4: Simplify right side
    68,151x = 19,516,928,209
  5. Step 5: Solve for x
    x = 19,516,928,209/68,151
  6. Step 6: Final answer
    x = 286,377.72

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.