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Finding the Third Proportional to 518.47 and 1,119.41

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Solution

The third proportional to 518.47 and 1,119.41 is: 2,416.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.47 : 1,119.41 = 1,119.41 : x
  2. Step 2: Convert to fraction form
    518.47/1,119.41 = 1,119.41/x
  3. Step 3: Cross multiply
    518.47x = 1,119.41 × 1,119.41
  4. Step 4: Simplify right side
    518.47x = 1,253,079.10
  5. Step 5: Solve for x
    x = 1,253,079.10/518.47
  6. Step 6: Final answer
    x = 2,416.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.