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Finding the Third Proportional to 7,980.19 and 17,359.31

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Solution

The third proportional to 7,980.19 and 17,359.31 is: 37,761.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,980.19 : 17,359.31 = 17,359.31 : x
  2. Step 2: Convert to fraction form
    7,980.19/17,359.31 = 17,359.31/x
  3. Step 3: Cross multiply
    7,980.19x = 17,359.31 × 17,359.31
  4. Step 4: Simplify right side
    7,980.19x = 301,345,730.47
  5. Step 5: Solve for x
    x = 301,345,730.47/7,980.19
  6. Step 6: Final answer
    x = 37,761.74

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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.