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Finding the Third Proportional to 208,622 and 313,931

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Solution

The third proportional to 208,622 and 313,931 is: 472,398.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,622 : 313,931 = 313,931 : x
  2. Step 2: Convert to fraction form
    208,622/313,931 = 313,931/x
  3. Step 3: Cross multiply
    208,622x = 313,931 × 313,931
  4. Step 4: Simplify right side
    208,622x = 98,552,672,761
  5. Step 5: Solve for x
    x = 98,552,672,761/208,622
  6. Step 6: Final answer
    x = 472,398.27

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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.