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Finding the Third Proportional to 84,242.21 and 128,093.27

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Solution

The third proportional to 84,242.21 and 128,093.27 is: 194,770.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,242.21 : 128,093.27 = 128,093.27 : x
  2. Step 2: Convert to fraction form
    84,242.21/128,093.27 = 128,093.27/x
  3. Step 3: Cross multiply
    84,242.21x = 128,093.27 × 128,093.27
  4. Step 4: Simplify right side
    84,242.21x = 16,407,886,699.93
  5. Step 5: Solve for x
    x = 16,407,886,699.93/84,242.21
  6. Step 6: Final answer
    x = 194,770.36

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.