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Finding the Third Proportional to 77,129 and 119,190

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Solution

The third proportional to 77,129 and 119,190 is: 184,188.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,129 : 119,190 = 119,190 : x
  2. Step 2: Convert to fraction form
    77,129/119,190 = 119,190/x
  3. Step 3: Cross multiply
    77,129x = 119,190 × 119,190
  4. Step 4: Simplify right side
    77,129x = 14,206,256,100
  5. Step 5: Solve for x
    x = 14,206,256,100/77,129
  6. Step 6: Final answer
    x = 184,188.26

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.