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Finding the Third Proportional to 196,262.25 and 311,278.50

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Solution

The third proportional to 196,262.25 and 311,278.50 is: 493,698.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,262.25 : 311,278.50 = 311,278.50 : x
  2. Step 2: Convert to fraction form
    196,262.25/311,278.50 = 311,278.50/x
  3. Step 3: Cross multiply
    196,262.25x = 311,278.50 × 311,278.50
  4. Step 4: Simplify right side
    196,262.25x = 96,894,304,562.25
  5. Step 5: Solve for x
    x = 96,894,304,562.25/196,262.25
  6. Step 6: Final answer
    x = 493,698.12

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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.