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Finding the Third Proportional to 68,985 and 103,881

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Solution

The third proportional to 68,985 and 103,881 is: 156,429.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,985 : 103,881 = 103,881 : x
  2. Step 2: Convert to fraction form
    68,985/103,881 = 103,881/x
  3. Step 3: Cross multiply
    68,985x = 103,881 × 103,881
  4. Step 4: Simplify right side
    68,985x = 10,791,262,161
  5. Step 5: Solve for x
    x = 10,791,262,161/68,985
  6. Step 6: Final answer
    x = 156,429.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.