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Finding the Third Proportional to 68,836 and 145,942

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Solution

The third proportional to 68,836 and 145,942 is: 309,417.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,836 : 145,942 = 145,942 : x
  2. Step 2: Convert to fraction form
    68,836/145,942 = 145,942/x
  3. Step 3: Cross multiply
    68,836x = 145,942 × 145,942
  4. Step 4: Simplify right side
    68,836x = 21,299,067,364
  5. Step 5: Solve for x
    x = 21,299,067,364/68,836
  6. Step 6: Final answer
    x = 309,417.56

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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.