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Finding the Third Proportional to 118,125 and 259,215.19

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Solution

The third proportional to 118,125 and 259,215.19 is: 568,825.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,125 : 259,215.19 = 259,215.19 : x
  2. Step 2: Convert to fraction form
    118,125/259,215.19 = 259,215.19/x
  3. Step 3: Cross multiply
    118,125x = 259,215.19 × 259,215.19
  4. Step 4: Simplify right side
    118,125x = 67,192,513,430.66
  5. Step 5: Solve for x
    x = 67,192,513,430.66/118,125
  6. Step 6: Final answer
    x = 568,825.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.