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Finding the Third Proportional to 821.73 and 1,203.76

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Solution

The third proportional to 821.73 and 1,203.76 is: 1,763.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.73 : 1,203.76 = 1,203.76 : x
  2. Step 2: Convert to fraction form
    821.73/1,203.76 = 1,203.76/x
  3. Step 3: Cross multiply
    821.73x = 1,203.76 × 1,203.76
  4. Step 4: Simplify right side
    821.73x = 1,449,032.58
  5. Step 5: Solve for x
    x = 1,449,032.58/821.73
  6. Step 6: Final answer
    x = 1,763.40

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.