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Finding the Third Proportional to 194,803.31 and 311,203.69

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Solution

The third proportional to 194,803.31 and 311,203.69 is: 497,156.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,803.31 : 311,203.69 = 311,203.69 : x
  2. Step 2: Convert to fraction form
    194,803.31/311,203.69 = 311,203.69/x
  3. Step 3: Cross multiply
    194,803.31x = 311,203.69 × 311,203.69
  4. Step 4: Simplify right side
    194,803.31x = 96,847,735,113.60
  5. Step 5: Solve for x
    x = 96,847,735,113.60/194,803.31
  6. Step 6: Final answer
    x = 497,156.51

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.