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Finding the Third Proportional to 196,254 and 311,269

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Solution

The third proportional to 196,254 and 311,269 is: 493,688.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,254 : 311,269 = 311,269 : x
  2. Step 2: Convert to fraction form
    196,254/311,269 = 311,269/x
  3. Step 3: Cross multiply
    196,254x = 311,269 × 311,269
  4. Step 4: Simplify right side
    196,254x = 96,888,390,361
  5. Step 5: Solve for x
    x = 96,888,390,361/196,254
  6. Step 6: Final answer
    x = 493,688.74

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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.