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Finding the Third Proportional to 68,381 and 103,515.50

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Solution

The third proportional to 68,381 and 103,515.50 is: 156,702.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,381 : 103,515.50 = 103,515.50 : x
  2. Step 2: Convert to fraction form
    68,381/103,515.50 = 103,515.50/x
  3. Step 3: Cross multiply
    68,381x = 103,515.50 × 103,515.50
  4. Step 4: Simplify right side
    68,381x = 10,715,458,740.25
  5. Step 5: Solve for x
    x = 10,715,458,740.25/68,381
  6. Step 6: Final answer
    x = 156,702.28

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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.