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Finding the Third Proportional to 102,843.42 and 164,228.13

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Solution

The third proportional to 102,843.42 and 164,228.13 is: 262,251.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,843.42 : 164,228.13 = 164,228.13 : x
  2. Step 2: Convert to fraction form
    102,843.42/164,228.13 = 164,228.13/x
  3. Step 3: Cross multiply
    102,843.42x = 164,228.13 × 164,228.13
  4. Step 4: Simplify right side
    102,843.42x = 26,970,879,607.08
  5. Step 5: Solve for x
    x = 26,970,879,607.08/102,843.42
  6. Step 6: Final answer
    x = 262,251.87

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.