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Finding the Third Proportional to 622.92 and 1,356.91

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Solution

The third proportional to 622.92 and 1,356.91 is: 2,955.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.92 : 1,356.91 = 1,356.91 : x
  2. Step 2: Convert to fraction form
    622.92/1,356.91 = 1,356.91/x
  3. Step 3: Cross multiply
    622.92x = 1,356.91 × 1,356.91
  4. Step 4: Simplify right side
    622.92x = 1,841,199.87
  5. Step 5: Solve for x
    x = 1,841,199.87/622.92
  6. Step 6: Final answer
    x = 2,955.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.