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Finding the Third Proportional to 2,244.80 and 3,564.63

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Solution

The third proportional to 2,244.80 and 3,564.63 is: 5,660.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,244.80 : 3,564.63 = 3,564.63 : x
  2. Step 2: Convert to fraction form
    2,244.80/3,564.63 = 3,564.63/x
  3. Step 3: Cross multiply
    2,244.80x = 3,564.63 × 3,564.63
  4. Step 4: Simplify right side
    2,244.80x = 12,706,607.09
  5. Step 5: Solve for x
    x = 12,706,607.09/2,244.80
  6. Step 6: Final answer
    x = 5,660.47

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.