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Finding the Third Proportional to 265,975.50 and 399,228

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Solution

The third proportional to 265,975.50 and 399,228 is: 599,239.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,975.50 : 399,228 = 399,228 : x
  2. Step 2: Convert to fraction form
    265,975.50/399,228 = 399,228/x
  3. Step 3: Cross multiply
    265,975.50x = 399,228 × 399,228
  4. Step 4: Simplify right side
    265,975.50x = 159,382,995,984
  5. Step 5: Solve for x
    x = 159,382,995,984/265,975.50
  6. Step 6: Final answer
    x = 599,239.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.