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Finding the Third Proportional to 193,585.50 and 311,658.75

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Solution

The third proportional to 193,585.50 and 311,658.75 is: 501,748.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,585.50 : 311,658.75 = 311,658.75 : x
  2. Step 2: Convert to fraction form
    193,585.50/311,658.75 = 311,658.75/x
  3. Step 3: Cross multiply
    193,585.50x = 311,658.75 × 311,658.75
  4. Step 4: Simplify right side
    193,585.50x = 97,131,176,451.56
  5. Step 5: Solve for x
    x = 97,131,176,451.56/193,585.50
  6. Step 6: Final answer
    x = 501,748.20

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.