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Finding the Third Proportional to 69,275 and 149,485

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Solution

The third proportional to 69,275 and 149,485 is: 322,566.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,275 : 149,485 = 149,485 : x
  2. Step 2: Convert to fraction form
    69,275/149,485 = 149,485/x
  3. Step 3: Cross multiply
    69,275x = 149,485 × 149,485
  4. Step 4: Simplify right side
    69,275x = 22,345,765,225
  5. Step 5: Solve for x
    x = 22,345,765,225/69,275
  6. Step 6: Final answer
    x = 322,566.08

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.