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Finding the Third Proportional to 208,124 and 311,351

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Solution

The third proportional to 208,124 and 311,351 is: 465,777.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,124 : 311,351 = 311,351 : x
  2. Step 2: Convert to fraction form
    208,124/311,351 = 311,351/x
  3. Step 3: Cross multiply
    208,124x = 311,351 × 311,351
  4. Step 4: Simplify right side
    208,124x = 96,939,445,201
  5. Step 5: Solve for x
    x = 96,939,445,201/208,124
  6. Step 6: Final answer
    x = 465,777.35

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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.