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Finding the Third Proportional to 118,453.50 and 153,686.25

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Solution

The third proportional to 118,453.50 and 153,686.25 is: 199,398.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,453.50 : 153,686.25 = 153,686.25 : x
  2. Step 2: Convert to fraction form
    118,453.50/153,686.25 = 153,686.25/x
  3. Step 3: Cross multiply
    118,453.50x = 153,686.25 × 153,686.25
  4. Step 4: Simplify right side
    118,453.50x = 23,619,463,439.06
  5. Step 5: Solve for x
    x = 23,619,463,439.06/118,453.50
  6. Step 6: Final answer
    x = 199,398.61

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.