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Finding the Third Proportional to 100,338.50 and 136,665.75

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Solution

The third proportional to 100,338.50 and 136,665.75 is: 186,145.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,338.50 : 136,665.75 = 136,665.75 : x
  2. Step 2: Convert to fraction form
    100,338.50/136,665.75 = 136,665.75/x
  3. Step 3: Cross multiply
    100,338.50x = 136,665.75 × 136,665.75
  4. Step 4: Simplify right side
    100,338.50x = 18,677,527,223.06
  5. Step 5: Solve for x
    x = 18,677,527,223.06/100,338.50
  6. Step 6: Final answer
    x = 186,145.17

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.