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Finding the Third Proportional to 69,459 and 107,620.75

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Solution

The third proportional to 69,459 and 107,620.75 is: 166,749.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,459 : 107,620.75 = 107,620.75 : x
  2. Step 2: Convert to fraction form
    69,459/107,620.75 = 107,620.75/x
  3. Step 3: Cross multiply
    69,459x = 107,620.75 × 107,620.75
  4. Step 4: Simplify right side
    69,459x = 11,582,225,830.56
  5. Step 5: Solve for x
    x = 11,582,225,830.56/69,459
  6. Step 6: Final answer
    x = 166,749.10

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.