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Finding the Third Proportional to 208,962 and 313,911

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Solution

The third proportional to 208,962 and 313,911 is: 471,569.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,962 : 313,911 = 313,911 : x
  2. Step 2: Convert to fraction form
    208,962/313,911 = 313,911/x
  3. Step 3: Cross multiply
    208,962x = 313,911 × 313,911
  4. Step 4: Simplify right side
    208,962x = 98,540,115,921
  5. Step 5: Solve for x
    x = 98,540,115,921/208,962
  6. Step 6: Final answer
    x = 471,569.55

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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.