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Finding the Third Proportional to 143,976 and 214,464

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Solution

The third proportional to 143,976 and 214,464 is: 319,461.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,976 : 214,464 = 214,464 : x
  2. Step 2: Convert to fraction form
    143,976/214,464 = 214,464/x
  3. Step 3: Cross multiply
    143,976x = 214,464 × 214,464
  4. Step 4: Simplify right side
    143,976x = 45,994,807,296
  5. Step 5: Solve for x
    x = 45,994,807,296/143,976
  6. Step 6: Final answer
    x = 319,461.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.