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Finding the Third Proportional to 63,443 and 138,187

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Solution

The third proportional to 63,443 and 138,187 is: 300,989.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,443 : 138,187 = 138,187 : x
  2. Step 2: Convert to fraction form
    63,443/138,187 = 138,187/x
  3. Step 3: Cross multiply
    63,443x = 138,187 × 138,187
  4. Step 4: Simplify right side
    63,443x = 19,095,646,969
  5. Step 5: Solve for x
    x = 19,095,646,969/63,443
  6. Step 6: Final answer
    x = 300,989.03

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.