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Finding the Third Proportional to 1,220.91 and 1,812.80

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Solution

The third proportional to 1,220.91 and 1,812.80 is: 2,691.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220.91 : 1,812.80 = 1,812.80 : x
  2. Step 2: Convert to fraction form
    1,220.91/1,812.80 = 1,812.80/x
  3. Step 3: Cross multiply
    1,220.91x = 1,812.80 × 1,812.80
  4. Step 4: Simplify right side
    1,220.91x = 3,286,232.51
  5. Step 5: Solve for x
    x = 3,286,232.51/1,220.91
  6. Step 6: Final answer
    x = 2,691.63

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.