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Finding the Third Proportional to 1,223.81 and 2,620.88

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Solution

The third proportional to 1,223.81 and 2,620.88 is: 5,612.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.81 : 2,620.88 = 2,620.88 : x
  2. Step 2: Convert to fraction form
    1,223.81/2,620.88 = 2,620.88/x
  3. Step 3: Cross multiply
    1,223.81x = 2,620.88 × 2,620.88
  4. Step 4: Simplify right side
    1,223.81x = 6,868,985.77
  5. Step 5: Solve for x
    x = 6,868,985.77/1,223.81
  6. Step 6: Final answer
    x = 5,612.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.