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Finding the Third Proportional to 130,138 and 191,104

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Solution

The third proportional to 130,138 and 191,104 is: 280,630.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,138 : 191,104 = 191,104 : x
  2. Step 2: Convert to fraction form
    130,138/191,104 = 191,104/x
  3. Step 3: Cross multiply
    130,138x = 191,104 × 191,104
  4. Step 4: Simplify right side
    130,138x = 36,520,738,816
  5. Step 5: Solve for x
    x = 36,520,738,816/130,138
  6. Step 6: Final answer
    x = 280,630.86

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.