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Finding the Third Proportional to 100,561.50 and 138,523.50

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Solution

The third proportional to 100,561.50 and 138,523.50 is: 190,816.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,561.50 : 138,523.50 = 138,523.50 : x
  2. Step 2: Convert to fraction form
    100,561.50/138,523.50 = 138,523.50/x
  3. Step 3: Cross multiply
    100,561.50x = 138,523.50 × 138,523.50
  4. Step 4: Simplify right side
    100,561.50x = 19,188,760,052.25
  5. Step 5: Solve for x
    x = 19,188,760,052.25/100,561.50
  6. Step 6: Final answer
    x = 190,816.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.