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Finding the Third Proportional to 287,976.94 and 619,422.19

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Solution

The third proportional to 287,976.94 and 619,422.19 is: 1,332,342.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,976.94 : 619,422.19 = 619,422.19 : x
  2. Step 2: Convert to fraction form
    287,976.94/619,422.19 = 619,422.19/x
  3. Step 3: Cross multiply
    287,976.94x = 619,422.19 × 619,422.19
  4. Step 4: Simplify right side
    287,976.94x = 383,683,846,367.29
  5. Step 5: Solve for x
    x = 383,683,846,367.29/287,976.94
  6. Step 6: Final answer
    x = 1,332,342.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.