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Finding the Third Proportional to 144,843 and 212,079

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Solution

The third proportional to 144,843 and 212,079 is: 310,525.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,843 : 212,079 = 212,079 : x
  2. Step 2: Convert to fraction form
    144,843/212,079 = 212,079/x
  3. Step 3: Cross multiply
    144,843x = 212,079 × 212,079
  4. Step 4: Simplify right side
    144,843x = 44,977,502,241
  5. Step 5: Solve for x
    x = 44,977,502,241/144,843
  6. Step 6: Final answer
    x = 310,525.90

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.