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Finding the Third Proportional to 769.08 and 1,431.84

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Solution

The third proportional to 769.08 and 1,431.84 is: 2,665.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.08 : 1,431.84 = 1,431.84 : x
  2. Step 2: Convert to fraction form
    769.08/1,431.84 = 1,431.84/x
  3. Step 3: Cross multiply
    769.08x = 1,431.84 × 1,431.84
  4. Step 4: Simplify right side
    769.08x = 2,050,176.52
  5. Step 5: Solve for x
    x = 2,050,176.52/769.08
  6. Step 6: Final answer
    x = 2,665.76

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.