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Finding the Third Proportional to 518.91 and 1,258.66

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Solution

The third proportional to 518.91 and 1,258.66 is: 3,053.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.91 : 1,258.66 = 1,258.66 : x
  2. Step 2: Convert to fraction form
    518.91/1,258.66 = 1,258.66/x
  3. Step 3: Cross multiply
    518.91x = 1,258.66 × 1,258.66
  4. Step 4: Simplify right side
    518.91x = 1,584,235.22
  5. Step 5: Solve for x
    x = 1,584,235.22/518.91
  6. Step 6: Final answer
    x = 3,053.03

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Why These Related Problems?

These problems maintain the same ratio (2.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.