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Finding the Third Proportional to 68,859 and 145,986

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Solution

The third proportional to 68,859 and 145,986 is: 309,500.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,859 : 145,986 = 145,986 : x
  2. Step 2: Convert to fraction form
    68,859/145,986 = 145,986/x
  3. Step 3: Cross multiply
    68,859x = 145,986 × 145,986
  4. Step 4: Simplify right side
    68,859x = 21,311,912,196
  5. Step 5: Solve for x
    x = 21,311,912,196/68,859
  6. Step 6: Final answer
    x = 309,500.75

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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.