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Finding the Third Proportional to 621.88 and 922.13

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Solution

The third proportional to 621.88 and 922.13 is: 1,367.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.88 : 922.13 = 922.13 : x
  2. Step 2: Convert to fraction form
    621.88/922.13 = 922.13/x
  3. Step 3: Cross multiply
    621.88x = 922.13 × 922.13
  4. Step 4: Simplify right side
    621.88x = 850,314.52
  5. Step 5: Solve for x
    x = 850,314.52/621.88
  6. Step 6: Final answer
    x = 1,367.34

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.