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Finding the Third Proportional to 621.19 and 1,293.56

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Solution

The third proportional to 621.19 and 1,293.56 is: 2,693.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.19 : 1,293.56 = 1,293.56 : x
  2. Step 2: Convert to fraction form
    621.19/1,293.56 = 1,293.56/x
  3. Step 3: Cross multiply
    621.19x = 1,293.56 × 1,293.56
  4. Step 4: Simplify right side
    621.19x = 1,673,303.94
  5. Step 5: Solve for x
    x = 1,673,303.94/621.19
  6. Step 6: Final answer
    x = 2,693.72

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.