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Finding the Third Proportional to 68,278.50 and 149,008.50

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Solution

The third proportional to 68,278.50 and 149,008.50 is: 325,190.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,278.50 : 149,008.50 = 149,008.50 : x
  2. Step 2: Convert to fraction form
    68,278.50/149,008.50 = 149,008.50/x
  3. Step 3: Cross multiply
    68,278.50x = 149,008.50 × 149,008.50
  4. Step 4: Simplify right side
    68,278.50x = 22,203,533,072.25
  5. Step 5: Solve for x
    x = 22,203,533,072.25/68,278.50
  6. Step 6: Final answer
    x = 325,190.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.