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Finding the Third Proportional to 782.16 and 1,694.36

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Solution

The third proportional to 782.16 and 1,694.36 is: 3,670.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.16 : 1,694.36 = 1,694.36 : x
  2. Step 2: Convert to fraction form
    782.16/1,694.36 = 1,694.36/x
  3. Step 3: Cross multiply
    782.16x = 1,694.36 × 1,694.36
  4. Step 4: Simplify right side
    782.16x = 2,870,840.45
  5. Step 5: Solve for x
    x = 2,870,840.45/782.16
  6. Step 6: Final answer
    x = 3,670.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.