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Finding the Third Proportional to 68,015 and 107,240

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Solution

The third proportional to 68,015 and 107,240 is: 169,086.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,015 : 107,240 = 107,240 : x
  2. Step 2: Convert to fraction form
    68,015/107,240 = 107,240/x
  3. Step 3: Cross multiply
    68,015x = 107,240 × 107,240
  4. Step 4: Simplify right side
    68,015x = 11,500,417,600
  5. Step 5: Solve for x
    x = 11,500,417,600/68,015
  6. Step 6: Final answer
    x = 169,086.49

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.