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Finding the Third Proportional to 196,570 and 311,743

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Solution

The third proportional to 196,570 and 311,743 is: 494,397.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,570 : 311,743 = 311,743 : x
  2. Step 2: Convert to fraction form
    196,570/311,743 = 311,743/x
  3. Step 3: Cross multiply
    196,570x = 311,743 × 311,743
  4. Step 4: Simplify right side
    196,570x = 97,183,698,049
  5. Step 5: Solve for x
    x = 97,183,698,049/196,570
  6. Step 6: Final answer
    x = 494,397.41

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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.