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Finding the Third Proportional to 150,909.75 and 319,806.56

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Solution

The third proportional to 150,909.75 and 319,806.56 is: 677,731.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,909.75 : 319,806.56 = 319,806.56 : x
  2. Step 2: Convert to fraction form
    150,909.75/319,806.56 = 319,806.56/x
  3. Step 3: Cross multiply
    150,909.75x = 319,806.56 × 319,806.56
  4. Step 4: Simplify right side
    150,909.75x = 102,276,237,418.07
  5. Step 5: Solve for x
    x = 102,276,237,418.07/150,909.75
  6. Step 6: Final answer
    x = 677,731.14

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.