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Finding the Third Proportional to 282,976.88 and 428,110.31

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Solution

The third proportional to 282,976.88 and 428,110.31 is: 647,679.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,976.88 : 428,110.31 = 428,110.31 : x
  2. Step 2: Convert to fraction form
    282,976.88/428,110.31 = 428,110.31/x
  3. Step 3: Cross multiply
    282,976.88x = 428,110.31 × 428,110.31
  4. Step 4: Simplify right side
    282,976.88x = 183,278,439,668.85
  5. Step 5: Solve for x
    x = 183,278,439,668.85/282,976.88
  6. Step 6: Final answer
    x = 647,679.92

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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.