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Finding the Third Proportional to 622.97 and 885.80

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Solution

The third proportional to 622.97 and 885.80 is: 1,259.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.97 : 885.80 = 885.80 : x
  2. Step 2: Convert to fraction form
    622.97/885.80 = 885.80/x
  3. Step 3: Cross multiply
    622.97x = 885.80 × 885.80
  4. Step 4: Simplify right side
    622.97x = 784,636.10
  5. Step 5: Solve for x
    x = 784,636.10/622.97
  6. Step 6: Final answer
    x = 1,259.51

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.