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Finding the Third Proportional to 622.38 and 872.38

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Solution

The third proportional to 622.38 and 872.38 is: 1,222.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.38 : 872.38 = 872.38 : x
  2. Step 2: Convert to fraction form
    622.38/872.38 = 872.38/x
  3. Step 3: Cross multiply
    622.38x = 872.38 × 872.38
  4. Step 4: Simplify right side
    622.38x = 761,038.14
  5. Step 5: Solve for x
    x = 761,038.14/622.38
  6. Step 6: Final answer
    x = 1,222.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.