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Finding the Third Proportional to 68,015.50 and 145,859

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Solution

The third proportional to 68,015.50 and 145,859 is: 312,794.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,015.50 : 145,859 = 145,859 : x
  2. Step 2: Convert to fraction form
    68,015.50/145,859 = 145,859/x
  3. Step 3: Cross multiply
    68,015.50x = 145,859 × 145,859
  4. Step 4: Simplify right side
    68,015.50x = 21,274,847,881
  5. Step 5: Solve for x
    x = 21,274,847,881/68,015.50
  6. Step 6: Final answer
    x = 312,794.11

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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.