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Finding the Third Proportional to 115,215.50 and 239,627.50

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Solution

The third proportional to 115,215.50 and 239,627.50 is: 498,382.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,215.50 : 239,627.50 = 239,627.50 : x
  2. Step 2: Convert to fraction form
    115,215.50/239,627.50 = 239,627.50/x
  3. Step 3: Cross multiply
    115,215.50x = 239,627.50 × 239,627.50
  4. Step 4: Simplify right side
    115,215.50x = 57,421,338,756.25
  5. Step 5: Solve for x
    x = 57,421,338,756.25/115,215.50
  6. Step 6: Final answer
    x = 498,382.06

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.