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Finding the Third Proportional to 145,819 and 313,790

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Solution

The third proportional to 145,819 and 313,790 is: 675,249.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,819 : 313,790 = 313,790 : x
  2. Step 2: Convert to fraction form
    145,819/313,790 = 313,790/x
  3. Step 3: Cross multiply
    145,819x = 313,790 × 313,790
  4. Step 4: Simplify right side
    145,819x = 98,464,164,100
  5. Step 5: Solve for x
    x = 98,464,164,100/145,819
  6. Step 6: Final answer
    x = 675,249.21

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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.