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Finding the Third Proportional to 771.60 and 1,666.59

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Solution

The third proportional to 771.60 and 1,666.59 is: 3,599.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.60 : 1,666.59 = 1,666.59 : x
  2. Step 2: Convert to fraction form
    771.60/1,666.59 = 1,666.59/x
  3. Step 3: Cross multiply
    771.60x = 1,666.59 × 1,666.59
  4. Step 4: Simplify right side
    771.60x = 2,777,524.96
  5. Step 5: Solve for x
    x = 2,777,524.96/771.60
  6. Step 6: Final answer
    x = 3,599.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.