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Finding the Third Proportional to 138,619.50 and 296,919.75

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Solution

The third proportional to 138,619.50 and 296,919.75 is: 635,995.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,619.50 : 296,919.75 = 296,919.75 : x
  2. Step 2: Convert to fraction form
    138,619.50/296,919.75 = 296,919.75/x
  3. Step 3: Cross multiply
    138,619.50x = 296,919.75 × 296,919.75
  4. Step 4: Simplify right side
    138,619.50x = 88,161,337,940.06
  5. Step 5: Solve for x
    x = 88,161,337,940.06/138,619.50
  6. Step 6: Final answer
    x = 635,995.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.