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Finding the Third Proportional to 812.81 and 1,296.84

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Solution

The third proportional to 812.81 and 1,296.84 is: 2,069.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.81 : 1,296.84 = 1,296.84 : x
  2. Step 2: Convert to fraction form
    812.81/1,296.84 = 1,296.84/x
  3. Step 3: Cross multiply
    812.81x = 1,296.84 × 1,296.84
  4. Step 4: Simplify right side
    812.81x = 1,681,803.71
  5. Step 5: Solve for x
    x = 1,681,803.71/812.81
  6. Step 6: Final answer
    x = 2,069.12

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.