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Finding the Third Proportional to 622 and 929.75

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Solution

The third proportional to 622 and 929.75 is: 1,389.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    622 : 929.75 = 929.75 : x
  2. Step 2: Convert to fraction form
    622/929.75 = 929.75/x
  3. Step 3: Cross multiply
    622x = 929.75 × 929.75
  4. Step 4: Simplify right side
    622x = 864,435.06
  5. Step 5: Solve for x
    x = 864,435.06/622
  6. Step 6: Final answer
    x = 1,389.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.