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Finding the Third Proportional to 742.92 and 1,051.73

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Solution

The third proportional to 742.92 and 1,051.73 is: 1,488.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.92 : 1,051.73 = 1,051.73 : x
  2. Step 2: Convert to fraction form
    742.92/1,051.73 = 1,051.73/x
  3. Step 3: Cross multiply
    742.92x = 1,051.73 × 1,051.73
  4. Step 4: Simplify right side
    742.92x = 1,106,145.20
  5. Step 5: Solve for x
    x = 1,106,145.20/742.92
  6. Step 6: Final answer
    x = 1,488.91

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.