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Finding the Third Proportional to 779.50 and 1,170.19

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Solution

The third proportional to 779.50 and 1,170.19 is: 1,756.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.50 : 1,170.19 = 1,170.19 : x
  2. Step 2: Convert to fraction form
    779.50/1,170.19 = 1,170.19/x
  3. Step 3: Cross multiply
    779.50x = 1,170.19 × 1,170.19
  4. Step 4: Simplify right side
    779.50x = 1,369,338.79
  5. Step 5: Solve for x
    x = 1,369,338.79/779.50
  6. Step 6: Final answer
    x = 1,756.69

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Why These Related Problems?

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