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Finding the Third Proportional to 212,049 and 311,721.75

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Solution

The third proportional to 212,049 and 311,721.75 is: 458,245.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,049 : 311,721.75 = 311,721.75 : x
  2. Step 2: Convert to fraction form
    212,049/311,721.75 = 311,721.75/x
  3. Step 3: Cross multiply
    212,049x = 311,721.75 × 311,721.75
  4. Step 4: Simplify right side
    212,049x = 97,170,449,423.06
  5. Step 5: Solve for x
    x = 97,170,449,423.06/212,049
  6. Step 6: Final answer
    x = 458,245.26

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.