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Finding the Third Proportional to 68,206 and 145,886

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Solution

The third proportional to 68,206 and 145,886 is: 312,035.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,206 : 145,886 = 145,886 : x
  2. Step 2: Convert to fraction form
    68,206/145,886 = 145,886/x
  3. Step 3: Cross multiply
    68,206x = 145,886 × 145,886
  4. Step 4: Simplify right side
    68,206x = 21,282,724,996
  5. Step 5: Solve for x
    x = 21,282,724,996/68,206
  6. Step 6: Final answer
    x = 312,035.96

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.