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Finding the Third Proportional to 1,402.73 and 3,083.91

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Solution

The third proportional to 1,402.73 and 3,083.91 is: 6,779.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.73 : 3,083.91 = 3,083.91 : x
  2. Step 2: Convert to fraction form
    1,402.73/3,083.91 = 3,083.91/x
  3. Step 3: Cross multiply
    1,402.73x = 3,083.91 × 3,083.91
  4. Step 4: Simplify right side
    1,402.73x = 9,510,477.76
  5. Step 5: Solve for x
    x = 9,510,477.76/1,402.73
  6. Step 6: Final answer
    x = 6,779.96

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.