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Finding the Third Proportional to 518.53 and 802.97

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Solution

The third proportional to 518.53 and 802.97 is: 1,243.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.53 : 802.97 = 802.97 : x
  2. Step 2: Convert to fraction form
    518.53/802.97 = 802.97/x
  3. Step 3: Cross multiply
    518.53x = 802.97 × 802.97
  4. Step 4: Simplify right side
    518.53x = 644,758.81
  5. Step 5: Solve for x
    x = 644,758.81/518.53
  6. Step 6: Final answer
    x = 1,243.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.