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Finding the Third Proportional to 622.57 and 1,347.65

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Solution

The third proportional to 622.57 and 1,347.65 is: 2,917.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.57 : 1,347.65 = 1,347.65 : x
  2. Step 2: Convert to fraction form
    622.57/1,347.65 = 1,347.65/x
  3. Step 3: Cross multiply
    622.57x = 1,347.65 × 1,347.65
  4. Step 4: Simplify right side
    622.57x = 1,816,169.47
  5. Step 5: Solve for x
    x = 1,816,169.47/622.57
  6. Step 6: Final answer
    x = 2,917.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.