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Finding the Third Proportional to 802.83 and 1,690.03

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Solution

The third proportional to 802.83 and 1,690.03 is: 3,557.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.83 : 1,690.03 = 1,690.03 : x
  2. Step 2: Convert to fraction form
    802.83/1,690.03 = 1,690.03/x
  3. Step 3: Cross multiply
    802.83x = 1,690.03 × 1,690.03
  4. Step 4: Simplify right side
    802.83x = 2,856,205.63
  5. Step 5: Solve for x
    x = 2,856,205.63/802.83
  6. Step 6: Final answer
    x = 3,557.68

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.