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Finding the Third Proportional to 118,228.75 and 259,431.50

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Solution

The third proportional to 118,228.75 and 259,431.50 is: 569,275.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,228.75 : 259,431.50 = 259,431.50 : x
  2. Step 2: Convert to fraction form
    118,228.75/259,431.50 = 259,431.50/x
  3. Step 3: Cross multiply
    118,228.75x = 259,431.50 × 259,431.50
  4. Step 4: Simplify right side
    118,228.75x = 67,304,703,192.25
  5. Step 5: Solve for x
    x = 67,304,703,192.25/118,228.75
  6. Step 6: Final answer
    x = 569,275.27

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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.