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Finding the Third Proportional to 771.56 and 1,137.09

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Solution

The third proportional to 771.56 and 1,137.09 is: 1,675.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.56 : 1,137.09 = 1,137.09 : x
  2. Step 2: Convert to fraction form
    771.56/1,137.09 = 1,137.09/x
  3. Step 3: Cross multiply
    771.56x = 1,137.09 × 1,137.09
  4. Step 4: Simplify right side
    771.56x = 1,292,982.20
  5. Step 5: Solve for x
    x = 1,292,982.20/771.56
  6. Step 6: Final answer
    x = 1,675.80

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.