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Finding the Third Proportional to 299,775 and 388,927.50

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Solution

The third proportional to 299,775 and 388,927.50 is: 504,593.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,775 : 388,927.50 = 388,927.50 : x
  2. Step 2: Convert to fraction form
    299,775/388,927.50 = 388,927.50/x
  3. Step 3: Cross multiply
    299,775x = 388,927.50 × 388,927.50
  4. Step 4: Simplify right side
    299,775x = 151,264,600,256.25
  5. Step 5: Solve for x
    x = 151,264,600,256.25/299,775
  6. Step 6: Final answer
    x = 504,593.78

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.