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Finding the Third Proportional to 65,997.70 and 135,070.88

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Solution

The third proportional to 65,997.70 and 135,070.88 is: 276,436.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,997.70 : 135,070.88 = 135,070.88 : x
  2. Step 2: Convert to fraction form
    65,997.70/135,070.88 = 135,070.88/x
  3. Step 3: Cross multiply
    65,997.70x = 135,070.88 × 135,070.88
  4. Step 4: Simplify right side
    65,997.70x = 18,244,141,273.27
  5. Step 5: Solve for x
    x = 18,244,141,273.27/65,997.70
  6. Step 6: Final answer
    x = 276,436.00

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.