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Finding the Third Proportional to 196,281.75 and 311,318.25

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Solution

The third proportional to 196,281.75 and 311,318.25 is: 493,775.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,281.75 : 311,318.25 = 311,318.25 : x
  2. Step 2: Convert to fraction form
    196,281.75/311,318.25 = 311,318.25/x
  3. Step 3: Cross multiply
    196,281.75x = 311,318.25 × 311,318.25
  4. Step 4: Simplify right side
    196,281.75x = 96,919,052,783.06
  5. Step 5: Solve for x
    x = 96,919,052,783.06/196,281.75
  6. Step 6: Final answer
    x = 493,775.16

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.