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Finding the Third Proportional to 329,290.31 and 718,252.31

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Solution

The third proportional to 329,290.31 and 718,252.31 is: 1,566,661.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,290.31 : 718,252.31 = 718,252.31 : x
  2. Step 2: Convert to fraction form
    329,290.31/718,252.31 = 718,252.31/x
  3. Step 3: Cross multiply
    329,290.31x = 718,252.31 × 718,252.31
  4. Step 4: Simplify right side
    329,290.31x = 515,886,384,411.60
  5. Step 5: Solve for x
    x = 515,886,384,411.60/329,290.31
  6. Step 6: Final answer
    x = 1,566,661.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.