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Finding the Third Proportional to 802.78 and 1,200.84

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Solution

The third proportional to 802.78 and 1,200.84 is: 1,796.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.78 : 1,200.84 = 1,200.84 : x
  2. Step 2: Convert to fraction form
    802.78/1,200.84 = 1,200.84/x
  3. Step 3: Cross multiply
    802.78x = 1,200.84 × 1,200.84
  4. Step 4: Simplify right side
    802.78x = 1,442,025.71
  5. Step 5: Solve for x
    x = 1,442,025.71/802.78
  6. Step 6: Final answer
    x = 1,796.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.