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Finding the Third Proportional to 821.06 and 1,763.63

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Solution

The third proportional to 821.06 and 1,763.63 is: 3,788.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.06 : 1,763.63 = 1,763.63 : x
  2. Step 2: Convert to fraction form
    821.06/1,763.63 = 1,763.63/x
  3. Step 3: Cross multiply
    821.06x = 1,763.63 × 1,763.63
  4. Step 4: Simplify right side
    821.06x = 3,110,373.14
  5. Step 5: Solve for x
    x = 3,110,373.14/821.06
  6. Step 6: Final answer
    x = 3,788.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.