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Finding the Third Proportional to 68,424.75 and 146,918.81

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Solution

The third proportional to 68,424.75 and 146,918.81 is: 315,458.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,424.75 : 146,918.81 = 146,918.81 : x
  2. Step 2: Convert to fraction form
    68,424.75/146,918.81 = 146,918.81/x
  3. Step 3: Cross multiply
    68,424.75x = 146,918.81 × 146,918.81
  4. Step 4: Simplify right side
    68,424.75x = 21,585,137,466.41
  5. Step 5: Solve for x
    x = 21,585,137,466.41/68,424.75
  6. Step 6: Final answer
    x = 315,458.04

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.