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Finding the Third Proportional to 196,543 and 311,719

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Solution

The third proportional to 196,543 and 311,719 is: 494,389.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,543 : 311,719 = 311,719 : x
  2. Step 2: Convert to fraction form
    196,543/311,719 = 311,719/x
  3. Step 3: Cross multiply
    196,543x = 311,719 × 311,719
  4. Step 4: Simplify right side
    196,543x = 97,168,734,961
  5. Step 5: Solve for x
    x = 97,168,734,961/196,543
  6. Step 6: Final answer
    x = 494,389.19

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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.