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Finding the Third Proportional to 771.61 and 1,187.16

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Solution

The third proportional to 771.61 and 1,187.16 is: 1,826.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.61 : 1,187.16 = 1,187.16 : x
  2. Step 2: Convert to fraction form
    771.61/1,187.16 = 1,187.16/x
  3. Step 3: Cross multiply
    771.61x = 1,187.16 × 1,187.16
  4. Step 4: Simplify right side
    771.61x = 1,409,339.96
  5. Step 5: Solve for x
    x = 1,409,339.96/771.61
  6. Step 6: Final answer
    x = 1,826.49

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.