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Finding the Third Proportional to 797.13 and 1,221.12

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Solution

The third proportional to 797.13 and 1,221.12 is: 1,870.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.13 : 1,221.12 = 1,221.12 : x
  2. Step 2: Convert to fraction form
    797.13/1,221.12 = 1,221.12/x
  3. Step 3: Cross multiply
    797.13x = 1,221.12 × 1,221.12
  4. Step 4: Simplify right side
    797.13x = 1,491,127.19
  5. Step 5: Solve for x
    x = 1,491,127.19/797.13
  6. Step 6: Final answer
    x = 1,870.61

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.