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Finding the Third Proportional to 311,431.50 and 487,900.13

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Solution

The third proportional to 311,431.50 and 487,900.13 is: 764,362.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,431.50 : 487,900.13 = 487,900.13 : x
  2. Step 2: Convert to fraction form
    311,431.50/487,900.13 = 487,900.13/x
  3. Step 3: Cross multiply
    311,431.50x = 487,900.13 × 487,900.13
  4. Step 4: Simplify right side
    311,431.50x = 238,046,531,975.02
  5. Step 5: Solve for x
    x = 238,046,531,975.02/311,431.50
  6. Step 6: Final answer
    x = 764,362.41

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.