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Finding the Third Proportional to 69,009.50 and 148,589

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Solution

The third proportional to 69,009.50 and 148,589 is: 319,936.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,009.50 : 148,589 = 148,589 : x
  2. Step 2: Convert to fraction form
    69,009.50/148,589 = 148,589/x
  3. Step 3: Cross multiply
    69,009.50x = 148,589 × 148,589
  4. Step 4: Simplify right side
    69,009.50x = 22,078,690,921
  5. Step 5: Solve for x
    x = 22,078,690,921/69,009.50
  6. Step 6: Final answer
    x = 319,936.98

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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.