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Finding the Third Proportional to 68,886 and 146,040

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Solution

The third proportional to 68,886 and 146,040 is: 309,608.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,886 : 146,040 = 146,040 : x
  2. Step 2: Convert to fraction form
    68,886/146,040 = 146,040/x
  3. Step 3: Cross multiply
    68,886x = 146,040 × 146,040
  4. Step 4: Simplify right side
    68,886x = 21,327,681,600
  5. Step 5: Solve for x
    x = 21,327,681,600/68,886
  6. Step 6: Final answer
    x = 309,608.36

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.