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Finding the Third Proportional to 68,189 and 145,855

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Solution

The third proportional to 68,189 and 145,855 is: 311,981.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,189 : 145,855 = 145,855 : x
  2. Step 2: Convert to fraction form
    68,189/145,855 = 145,855/x
  3. Step 3: Cross multiply
    68,189x = 145,855 × 145,855
  4. Step 4: Simplify right side
    68,189x = 21,273,681,025
  5. Step 5: Solve for x
    x = 21,273,681,025/68,189
  6. Step 6: Final answer
    x = 311,981.13

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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.