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Finding the Third Proportional to 69,531.75 and 151,881.75

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Solution

The third proportional to 69,531.75 and 151,881.75 is: 331,763.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,531.75 : 151,881.75 = 151,881.75 : x
  2. Step 2: Convert to fraction form
    69,531.75/151,881.75 = 151,881.75/x
  3. Step 3: Cross multiply
    69,531.75x = 151,881.75 × 151,881.75
  4. Step 4: Simplify right side
    69,531.75x = 23,068,065,983.06
  5. Step 5: Solve for x
    x = 23,068,065,983.06/69,531.75
  6. Step 6: Final answer
    x = 331,763.06

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.