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Finding the Third Proportional to 728,378 and 1,142,609

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Solution

The third proportional to 728,378 and 1,142,609 is: 1,792,414.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,378 : 1,142,609 = 1,142,609 : x
  2. Step 2: Convert to fraction form
    728,378/1,142,609 = 1,142,609/x
  3. Step 3: Cross multiply
    728,378x = 1,142,609 × 1,142,609
  4. Step 4: Simplify right side
    728,378x = 1,305,555,326,881
  5. Step 5: Solve for x
    x = 1,305,555,326,881/728,378
  6. Step 6: Final answer
    x = 1,792,414.55

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.