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Finding the Third Proportional to 812.64 and 1,726.52

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Solution

The third proportional to 812.64 and 1,726.52 is: 3,668.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.64 : 1,726.52 = 1,726.52 : x
  2. Step 2: Convert to fraction form
    812.64/1,726.52 = 1,726.52/x
  3. Step 3: Cross multiply
    812.64x = 1,726.52 × 1,726.52
  4. Step 4: Simplify right side
    812.64x = 2,980,883.18
  5. Step 5: Solve for x
    x = 2,980,883.18/812.64
  6. Step 6: Final answer
    x = 3,668.16

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.