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Finding the Third Proportional to 151,071.75 and 218,475.56

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Solution

The third proportional to 151,071.75 and 218,475.56 is: 315,952.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,071.75 : 218,475.56 = 218,475.56 : x
  2. Step 2: Convert to fraction form
    151,071.75/218,475.56 = 218,475.56/x
  3. Step 3: Cross multiply
    151,071.75x = 218,475.56 × 218,475.56
  4. Step 4: Simplify right side
    151,071.75x = 47,731,571,409.69
  5. Step 5: Solve for x
    x = 47,731,571,409.69/151,071.75
  6. Step 6: Final answer
    x = 315,952.99

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.