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Finding the Third Proportional to 138,913 and 188,224

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Solution

The third proportional to 138,913 and 188,224 is: 255,039.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,913 : 188,224 = 188,224 : x
  2. Step 2: Convert to fraction form
    138,913/188,224 = 188,224/x
  3. Step 3: Cross multiply
    138,913x = 188,224 × 188,224
  4. Step 4: Simplify right side
    138,913x = 35,428,274,176
  5. Step 5: Solve for x
    x = 35,428,274,176/138,913
  6. Step 6: Final answer
    x = 255,039.30

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.