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Finding the Third Proportional to 452,139.47 and 622,843.17

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Solution

The third proportional to 452,139.47 and 622,843.17 is: 857,995.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,139.47 : 622,843.17 = 622,843.17 : x
  2. Step 2: Convert to fraction form
    452,139.47/622,843.17 = 622,843.17/x
  3. Step 3: Cross multiply
    452,139.47x = 622,843.17 × 622,843.17
  4. Step 4: Simplify right side
    452,139.47x = 387,933,616,751.31
  5. Step 5: Solve for x
    x = 387,933,616,751.31/452,139.47
  6. Step 6: Final answer
    x = 857,995.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.