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Finding the Third Proportional to 621.75 and 1,340.25

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Solution

The third proportional to 621.75 and 1,340.25 is: 2,889.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.75 : 1,340.25 = 1,340.25 : x
  2. Step 2: Convert to fraction form
    621.75/1,340.25 = 1,340.25/x
  3. Step 3: Cross multiply
    621.75x = 1,340.25 × 1,340.25
  4. Step 4: Simplify right side
    621.75x = 1,796,270.06
  5. Step 5: Solve for x
    x = 1,796,270.06/621.75
  6. Step 6: Final answer
    x = 2,889.06

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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.