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Finding the Third Proportional to 68,284.90 and 149,025.45

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Solution

The third proportional to 68,284.90 and 149,025.45 is: 325,234.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,284.90 : 149,025.45 = 149,025.45 : x
  2. Step 2: Convert to fraction form
    68,284.90/149,025.45 = 149,025.45/x
  3. Step 3: Cross multiply
    68,284.90x = 149,025.45 × 149,025.45
  4. Step 4: Simplify right side
    68,284.90x = 22,208,583,350.59
  5. Step 5: Solve for x
    x = 22,208,583,350.59/68,284.90
  6. Step 6: Final answer
    x = 325,234.19

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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.