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Finding the Third Proportional to 69,402.94 and 149,333.63

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Solution

The third proportional to 69,402.94 and 149,333.63 is: 321,319.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,402.94 : 149,333.63 = 149,333.63 : x
  2. Step 2: Convert to fraction form
    69,402.94/149,333.63 = 149,333.63/x
  3. Step 3: Cross multiply
    69,402.94x = 149,333.63 × 149,333.63
  4. Step 4: Simplify right side
    69,402.94x = 22,300,531,555.64
  5. Step 5: Solve for x
    x = 22,300,531,555.64/69,402.94
  6. Step 6: Final answer
    x = 321,319.71

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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.