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Finding the Third Proportional to 30,342.38 and 61,889.63

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Solution

The third proportional to 30,342.38 and 61,889.63 is: 126,236.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,342.38 : 61,889.63 = 61,889.63 : x
  2. Step 2: Convert to fraction form
    30,342.38/61,889.63 = 61,889.63/x
  3. Step 3: Cross multiply
    30,342.38x = 61,889.63 × 61,889.63
  4. Step 4: Simplify right side
    30,342.38x = 3,830,325,682.64
  5. Step 5: Solve for x
    x = 3,830,325,682.64/30,342.38
  6. Step 6: Final answer
    x = 126,236.84

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.