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Finding the Third Proportional to 69,276.38 and 148,912.63

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Solution

The third proportional to 69,276.38 and 148,912.63 is: 320,094.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,276.38 : 148,912.63 = 148,912.63 : x
  2. Step 2: Convert to fraction form
    69,276.38/148,912.63 = 148,912.63/x
  3. Step 3: Cross multiply
    69,276.38x = 148,912.63 × 148,912.63
  4. Step 4: Simplify right side
    69,276.38x = 22,174,969,884.39
  5. Step 5: Solve for x
    x = 22,174,969,884.39/69,276.38
  6. Step 6: Final answer
    x = 320,094.26

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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.