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Finding the Third Proportional to 208,122 and 311,348

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Solution

The third proportional to 208,122 and 311,348 is: 465,772.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,122 : 311,348 = 311,348 : x
  2. Step 2: Convert to fraction form
    208,122/311,348 = 311,348/x
  3. Step 3: Cross multiply
    208,122x = 311,348 × 311,348
  4. Step 4: Simplify right side
    208,122x = 96,937,577,104
  5. Step 5: Solve for x
    x = 96,937,577,104/208,122
  6. Step 6: Final answer
    x = 465,772.85

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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.