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Finding the Third Proportional to 69,129.56 and 145,215

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Solution

The third proportional to 69,129.56 and 145,215 is: 305,041.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,129.56 : 145,215 = 145,215 : x
  2. Step 2: Convert to fraction form
    69,129.56/145,215 = 145,215/x
  3. Step 3: Cross multiply
    69,129.56x = 145,215 × 145,215
  4. Step 4: Simplify right side
    69,129.56x = 21,087,396,225
  5. Step 5: Solve for x
    x = 21,087,396,225/69,129.56
  6. Step 6: Final answer
    x = 305,041.66

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.