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Finding the Third Proportional to 612.56 and 1,344.09

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Solution

The third proportional to 612.56 and 1,344.09 is: 2,949.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.56 : 1,344.09 = 1,344.09 : x
  2. Step 2: Convert to fraction form
    612.56/1,344.09 = 1,344.09/x
  3. Step 3: Cross multiply
    612.56x = 1,344.09 × 1,344.09
  4. Step 4: Simplify right side
    612.56x = 1,806,588.01
  5. Step 5: Solve for x
    x = 1,806,588.01/612.56
  6. Step 6: Final answer
    x = 2,949.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.