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Finding the Third Proportional to 196,373 and 311,448

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Solution

The third proportional to 196,373 and 311,448 is: 493,957.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,373 : 311,448 = 311,448 : x
  2. Step 2: Convert to fraction form
    196,373/311,448 = 311,448/x
  3. Step 3: Cross multiply
    196,373x = 311,448 × 311,448
  4. Step 4: Simplify right side
    196,373x = 96,999,856,704
  5. Step 5: Solve for x
    x = 96,999,856,704/196,373
  6. Step 6: Final answer
    x = 493,957.20

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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.