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Finding the Third Proportional to 612.56 and 676.16

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Solution

The third proportional to 612.56 and 676.16 is: 746.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.56 : 676.16 = 676.16 : x
  2. Step 2: Convert to fraction form
    612.56/676.16 = 676.16/x
  3. Step 3: Cross multiply
    612.56x = 676.16 × 676.16
  4. Step 4: Simplify right side
    612.56x = 457,192.56
  5. Step 5: Solve for x
    x = 457,192.56/612.56
  6. Step 6: Final answer
    x = 746.36

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.