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Finding the Third Proportional to 73,077.75 and 110,406.38

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Solution

The third proportional to 73,077.75 and 110,406.38 is: 166,802.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,077.75 : 110,406.38 = 110,406.38 : x
  2. Step 2: Convert to fraction form
    73,077.75/110,406.38 = 110,406.38/x
  3. Step 3: Cross multiply
    73,077.75x = 110,406.38 × 110,406.38
  4. Step 4: Simplify right side
    73,077.75x = 12,189,567,640.64
  5. Step 5: Solve for x
    x = 12,189,567,640.64/73,077.75
  6. Step 6: Final answer
    x = 166,802.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.