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Finding the Third Proportional to 780.19 and 1,166.91

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Solution

The third proportional to 780.19 and 1,166.91 is: 1,745.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.19 : 1,166.91 = 1,166.91 : x
  2. Step 2: Convert to fraction form
    780.19/1,166.91 = 1,166.91/x
  3. Step 3: Cross multiply
    780.19x = 1,166.91 × 1,166.91
  4. Step 4: Simplify right side
    780.19x = 1,361,670.20
  5. Step 5: Solve for x
    x = 1,361,670.20/780.19
  6. Step 6: Final answer
    x = 1,745.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.