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Finding the Third Proportional to 68,912 and 146,023

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Solution

The third proportional to 68,912 and 146,023 is: 309,419.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,912 : 146,023 = 146,023 : x
  2. Step 2: Convert to fraction form
    68,912/146,023 = 146,023/x
  3. Step 3: Cross multiply
    68,912x = 146,023 × 146,023
  4. Step 4: Simplify right side
    68,912x = 21,322,716,529
  5. Step 5: Solve for x
    x = 21,322,716,529/68,912
  6. Step 6: Final answer
    x = 309,419.50

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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.