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Finding the Third Proportional to 144,894 and 311,212

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Solution

The third proportional to 144,894 and 311,212 is: 668,439.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,894 : 311,212 = 311,212 : x
  2. Step 2: Convert to fraction form
    144,894/311,212 = 311,212/x
  3. Step 3: Cross multiply
    144,894x = 311,212 × 311,212
  4. Step 4: Simplify right side
    144,894x = 96,852,908,944
  5. Step 5: Solve for x
    x = 96,852,908,944/144,894
  6. Step 6: Final answer
    x = 668,439.75

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.