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Finding the Third Proportional to 612.56 and 873.28

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Solution

The third proportional to 612.56 and 873.28 is: 1,244.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.56 : 873.28 = 873.28 : x
  2. Step 2: Convert to fraction form
    612.56/873.28 = 873.28/x
  3. Step 3: Cross multiply
    612.56x = 873.28 × 873.28
  4. Step 4: Simplify right side
    612.56x = 762,620.14
  5. Step 5: Solve for x
    x = 762,620.14/612.56
  6. Step 6: Final answer
    x = 1,244.97

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.