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Finding the Third Proportional to 752.91 and 1,636.31

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Solution

The third proportional to 752.91 and 1,636.31 is: 3,556.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.91 : 1,636.31 = 1,636.31 : x
  2. Step 2: Convert to fraction form
    752.91/1,636.31 = 1,636.31/x
  3. Step 3: Cross multiply
    752.91x = 1,636.31 × 1,636.31
  4. Step 4: Simplify right side
    752.91x = 2,677,518.60
  5. Step 5: Solve for x
    x = 2,677,518.60/752.91
  6. Step 6: Final answer
    x = 3,556.24

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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.