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Finding the Third Proportional to 133,088 and 191,308

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Solution

The third proportional to 133,088 and 191,308 is: 274,996.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,088 : 191,308 = 191,308 : x
  2. Step 2: Convert to fraction form
    133,088/191,308 = 191,308/x
  3. Step 3: Cross multiply
    133,088x = 191,308 × 191,308
  4. Step 4: Simplify right side
    133,088x = 36,598,750,864
  5. Step 5: Solve for x
    x = 36,598,750,864/133,088
  6. Step 6: Final answer
    x = 274,996.63

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.