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Finding the Third Proportional to 513.19 and 802.78

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Solution

The third proportional to 513.19 and 802.78 is: 1,255.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.19 : 802.78 = 802.78 : x
  2. Step 2: Convert to fraction form
    513.19/802.78 = 802.78/x
  3. Step 3: Cross multiply
    513.19x = 802.78 × 802.78
  4. Step 4: Simplify right side
    513.19x = 644,457.74
  5. Step 5: Solve for x
    x = 644,457.74/513.19
  6. Step 6: Final answer
    x = 1,255.79

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.