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Finding the Third Proportional to 69,263 and 149,577

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Solution

The third proportional to 69,263 and 149,577 is: 323,019.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,263 : 149,577 = 149,577 : x
  2. Step 2: Convert to fraction form
    69,263/149,577 = 149,577/x
  3. Step 3: Cross multiply
    69,263x = 149,577 × 149,577
  4. Step 4: Simplify right side
    69,263x = 22,373,278,929
  5. Step 5: Solve for x
    x = 22,373,278,929/69,263
  6. Step 6: Final answer
    x = 323,019.20

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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.