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Finding the Third Proportional to 547.22 and 718.32

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Solution

The third proportional to 547.22 and 718.32 is: 942.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.22 : 718.32 = 718.32 : x
  2. Step 2: Convert to fraction form
    547.22/718.32 = 718.32/x
  3. Step 3: Cross multiply
    547.22x = 718.32 × 718.32
  4. Step 4: Simplify right side
    547.22x = 515,985.47
  5. Step 5: Solve for x
    x = 515,985.47/547.22
  6. Step 6: Final answer
    x = 942.91

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.