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Finding the Third Proportional to 211,828 and 312,813

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Solution

The third proportional to 211,828 and 312,813 is: 461,940.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,828 : 312,813 = 312,813 : x
  2. Step 2: Convert to fraction form
    211,828/312,813 = 312,813/x
  3. Step 3: Cross multiply
    211,828x = 312,813 × 312,813
  4. Step 4: Simplify right side
    211,828x = 97,851,972,969
  5. Step 5: Solve for x
    x = 97,851,972,969/211,828
  6. Step 6: Final answer
    x = 461,940.69

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.