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Finding the Third Proportional to 287,286.75 and 454,686.75

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Solution

The third proportional to 287,286.75 and 454,686.75 is: 719,629.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,286.75 : 454,686.75 = 454,686.75 : x
  2. Step 2: Convert to fraction form
    287,286.75/454,686.75 = 454,686.75/x
  3. Step 3: Cross multiply
    287,286.75x = 454,686.75 × 454,686.75
  4. Step 4: Simplify right side
    287,286.75x = 206,740,040,625.56
  5. Step 5: Solve for x
    x = 206,740,040,625.56/287,286.75
  6. Step 6: Final answer
    x = 719,629.57

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.