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Finding the Third Proportional to 68,592 and 103,069.50

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Solution

The third proportional to 68,592 and 103,069.50 is: 154,876.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,592 : 103,069.50 = 103,069.50 : x
  2. Step 2: Convert to fraction form
    68,592/103,069.50 = 103,069.50/x
  3. Step 3: Cross multiply
    68,592x = 103,069.50 × 103,069.50
  4. Step 4: Simplify right side
    68,592x = 10,623,321,830.25
  5. Step 5: Solve for x
    x = 10,623,321,830.25/68,592
  6. Step 6: Final answer
    x = 154,876.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.