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Finding the Third Proportional to 196,813 and 313,321

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Solution

The third proportional to 196,813 and 313,321 is: 498,798.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,813 : 313,321 = 313,321 : x
  2. Step 2: Convert to fraction form
    196,813/313,321 = 313,321/x
  3. Step 3: Cross multiply
    196,813x = 313,321 × 313,321
  4. Step 4: Simplify right side
    196,813x = 98,170,049,041
  5. Step 5: Solve for x
    x = 98,170,049,041/196,813
  6. Step 6: Final answer
    x = 498,798.60

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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.