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Finding the Third Proportional to 188,880.75 and 285,140.25

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Solution

The third proportional to 188,880.75 and 285,140.25 is: 430,456.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,880.75 : 285,140.25 = 285,140.25 : x
  2. Step 2: Convert to fraction form
    188,880.75/285,140.25 = 285,140.25/x
  3. Step 3: Cross multiply
    188,880.75x = 285,140.25 × 285,140.25
  4. Step 4: Simplify right side
    188,880.75x = 81,304,962,170.06
  5. Step 5: Solve for x
    x = 81,304,962,170.06/188,880.75
  6. Step 6: Final answer
    x = 430,456.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.