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Finding the Third Proportional to 138,967.88 and 303,027.75

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Solution

The third proportional to 138,967.88 and 303,027.75 is: 660,770.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,967.88 : 303,027.75 = 303,027.75 : x
  2. Step 2: Convert to fraction form
    138,967.88/303,027.75 = 303,027.75/x
  3. Step 3: Cross multiply
    138,967.88x = 303,027.75 × 303,027.75
  4. Step 4: Simplify right side
    138,967.88x = 91,825,817,270.06
  5. Step 5: Solve for x
    x = 91,825,817,270.06/138,967.88
  6. Step 6: Final answer
    x = 660,770.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.