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Finding the Third Proportional to 1.86 and 4.37

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Solution

The third proportional to 1.86 and 4.37 is: 10.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.86 : 4.37 = 4.37 : x
  2. Step 2: Convert to fraction form
    1.86/4.37 = 4.37/x
  3. Step 3: Cross multiply
    1.86x = 4.37 × 4.37
  4. Step 4: Simplify right side
    1.86x = 19.13
  5. Step 5: Solve for x
    x = 19.13/1.86
  6. Step 6: Final answer
    x = 10.27

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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.