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Finding the Third Proportional to 196,811.50 and 313,318

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Solution

The third proportional to 196,811.50 and 313,318 is: 498,792.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,811.50 : 313,318 = 313,318 : x
  2. Step 2: Convert to fraction form
    196,811.50/313,318 = 313,318/x
  3. Step 3: Cross multiply
    196,811.50x = 313,318 × 313,318
  4. Step 4: Simplify right side
    196,811.50x = 98,168,169,124
  5. Step 5: Solve for x
    x = 98,168,169,124/196,811.50
  6. Step 6: Final answer
    x = 498,792.85

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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.