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Finding the Third Proportional to 759.26 and 1,643.45

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Solution

The third proportional to 759.26 and 1,643.45 is: 3,557.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.26 : 1,643.45 = 1,643.45 : x
  2. Step 2: Convert to fraction form
    759.26/1,643.45 = 1,643.45/x
  3. Step 3: Cross multiply
    759.26x = 1,643.45 × 1,643.45
  4. Step 4: Simplify right side
    759.26x = 2,700,939.78
  5. Step 5: Solve for x
    x = 2,700,939.78/759.26
  6. Step 6: Final answer
    x = 3,557.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.