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Finding the Third Proportional to 103,344.19 and 146,270.81

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Solution

The third proportional to 103,344.19 and 146,270.81 is: 207,028.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,344.19 : 146,270.81 = 146,270.81 : x
  2. Step 2: Convert to fraction form
    103,344.19/146,270.81 = 146,270.81/x
  3. Step 3: Cross multiply
    103,344.19x = 146,270.81 × 146,270.81
  4. Step 4: Simplify right side
    103,344.19x = 21,395,150,589.41
  5. Step 5: Solve for x
    x = 21,395,150,589.41/103,344.19
  6. Step 6: Final answer
    x = 207,028.10

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.