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Finding the Third Proportional to 213,583.50 and 311,940.75

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Solution

The third proportional to 213,583.50 and 311,940.75 is: 455,592.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,583.50 : 311,940.75 = 311,940.75 : x
  2. Step 2: Convert to fraction form
    213,583.50/311,940.75 = 311,940.75/x
  3. Step 3: Cross multiply
    213,583.50x = 311,940.75 × 311,940.75
  4. Step 4: Simplify right side
    213,583.50x = 97,307,031,510.56
  5. Step 5: Solve for x
    x = 97,307,031,510.56/213,583.50
  6. Step 6: Final answer
    x = 455,592.46

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.