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Finding the Third Proportional to 203,559 and 311,386.50

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Solution

The third proportional to 203,559 and 311,386.50 is: 476,331.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,559 : 311,386.50 = 311,386.50 : x
  2. Step 2: Convert to fraction form
    203,559/311,386.50 = 311,386.50/x
  3. Step 3: Cross multiply
    203,559x = 311,386.50 × 311,386.50
  4. Step 4: Simplify right side
    203,559x = 96,961,552,382.25
  5. Step 5: Solve for x
    x = 96,961,552,382.25/203,559
  6. Step 6: Final answer
    x = 476,331.44

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.