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Finding the Third Proportional to 133,820.86 and 192,347.79

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Solution

The third proportional to 133,820.86 and 192,347.79 is: 276,471.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,820.86 : 192,347.79 = 192,347.79 : x
  2. Step 2: Convert to fraction form
    133,820.86/192,347.79 = 192,347.79/x
  3. Step 3: Cross multiply
    133,820.86x = 192,347.79 × 192,347.79
  4. Step 4: Simplify right side
    133,820.86x = 36,997,671,957.23
  5. Step 5: Solve for x
    x = 36,997,671,957.23/133,820.86
  6. Step 6: Final answer
    x = 276,471.64

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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.