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Finding the Third Proportional to 69,458 and 149,272

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Solution

The third proportional to 69,458 and 149,272 is: 320,800.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,458 : 149,272 = 149,272 : x
  2. Step 2: Convert to fraction form
    69,458/149,272 = 149,272/x
  3. Step 3: Cross multiply
    69,458x = 149,272 × 149,272
  4. Step 4: Simplify right side
    69,458x = 22,282,129,984
  5. Step 5: Solve for x
    x = 22,282,129,984/69,458
  6. Step 6: Final answer
    x = 320,800.05

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.