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Finding the Third Proportional to 129,944 and 190,308

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Solution

The third proportional to 129,944 and 190,308 is: 278,713.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,944 : 190,308 = 190,308 : x
  2. Step 2: Convert to fraction form
    129,944/190,308 = 190,308/x
  3. Step 3: Cross multiply
    129,944x = 190,308 × 190,308
  4. Step 4: Simplify right side
    129,944x = 36,217,134,864
  5. Step 5: Solve for x
    x = 36,217,134,864/129,944
  6. Step 6: Final answer
    x = 278,713.41

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.