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Finding the Third Proportional to 133,820 and 192,346

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Solution

The third proportional to 133,820 and 192,346 is: 276,468.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,820 : 192,346 = 192,346 : x
  2. Step 2: Convert to fraction form
    133,820/192,346 = 192,346/x
  3. Step 3: Cross multiply
    133,820x = 192,346 × 192,346
  4. Step 4: Simplify right side
    133,820x = 36,996,983,716
  5. Step 5: Solve for x
    x = 36,996,983,716/133,820
  6. Step 6: Final answer
    x = 276,468.27

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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.