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Finding the Third Proportional to 78,857.72 and 173,485.97

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Solution

The third proportional to 78,857.72 and 173,485.97 is: 381,666.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,857.72 : 173,485.97 = 173,485.97 : x
  2. Step 2: Convert to fraction form
    78,857.72/173,485.97 = 173,485.97/x
  3. Step 3: Cross multiply
    78,857.72x = 173,485.97 × 173,485.97
  4. Step 4: Simplify right side
    78,857.72x = 30,097,381,353.13
  5. Step 5: Solve for x
    x = 30,097,381,353.13/78,857.72
  6. Step 6: Final answer
    x = 381,666.90

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.