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Finding the Third Proportional to 87,773 and 189,343

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Solution

The third proportional to 87,773 and 189,343 is: 408,448.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,773 : 189,343 = 189,343 : x
  2. Step 2: Convert to fraction form
    87,773/189,343 = 189,343/x
  3. Step 3: Cross multiply
    87,773x = 189,343 × 189,343
  4. Step 4: Simplify right side
    87,773x = 35,850,771,649
  5. Step 5: Solve for x
    x = 35,850,771,649/87,773
  6. Step 6: Final answer
    x = 408,448.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.