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Finding the Third Proportional to 203,482.50 and 311,271.75

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Solution

The third proportional to 203,482.50 and 311,271.75 is: 476,159.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,482.50 : 311,271.75 = 311,271.75 : x
  2. Step 2: Convert to fraction form
    203,482.50/311,271.75 = 311,271.75/x
  3. Step 3: Cross multiply
    203,482.50x = 311,271.75 × 311,271.75
  4. Step 4: Simplify right side
    203,482.50x = 96,890,102,348.06
  5. Step 5: Solve for x
    x = 96,890,102,348.06/203,482.50
  6. Step 6: Final answer
    x = 476,159.39

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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.