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Finding the Third Proportional to 505.51 and 679.32

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Solution

The third proportional to 505.51 and 679.32 is: 912.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.51 : 679.32 = 679.32 : x
  2. Step 2: Convert to fraction form
    505.51/679.32 = 679.32/x
  3. Step 3: Cross multiply
    505.51x = 679.32 × 679.32
  4. Step 4: Simplify right side
    505.51x = 461,481.39
  5. Step 5: Solve for x
    x = 461,481.39/505.51
  6. Step 6: Final answer
    x = 912.90

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.