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Finding the Third Proportional to 918.37 and 2,161.37

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Solution

The third proportional to 918.37 and 2,161.37 is: 5,086.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.37 : 2,161.37 = 2,161.37 : x
  2. Step 2: Convert to fraction form
    918.37/2,161.37 = 2,161.37/x
  3. Step 3: Cross multiply
    918.37x = 2,161.37 × 2,161.37
  4. Step 4: Simplify right side
    918.37x = 4,671,525.00
  5. Step 5: Solve for x
    x = 4,671,525.00/918.37
  6. Step 6: Final answer
    x = 5,086.76

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.