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Finding the Third Proportional to 208,120 and 311,345

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Solution

The third proportional to 208,120 and 311,345 is: 465,768.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,120 : 311,345 = 311,345 : x
  2. Step 2: Convert to fraction form
    208,120/311,345 = 311,345/x
  3. Step 3: Cross multiply
    208,120x = 311,345 × 311,345
  4. Step 4: Simplify right side
    208,120x = 96,935,709,025
  5. Step 5: Solve for x
    x = 96,935,709,025/208,120
  6. Step 6: Final answer
    x = 465,768.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.