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Finding the Third Proportional to 68,840 and 105,868

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Solution

The third proportional to 68,840 and 105,868 is: 162,812.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,840 : 105,868 = 105,868 : x
  2. Step 2: Convert to fraction form
    68,840/105,868 = 105,868/x
  3. Step 3: Cross multiply
    68,840x = 105,868 × 105,868
  4. Step 4: Simplify right side
    68,840x = 11,208,033,424
  5. Step 5: Solve for x
    x = 11,208,033,424/68,840
  6. Step 6: Final answer
    x = 162,812.80

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.