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Finding the Third Proportional to 222,604 and 311,387

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Solution

The third proportional to 222,604 and 311,387 is: 435,580.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,604 : 311,387 = 311,387 : x
  2. Step 2: Convert to fraction form
    222,604/311,387 = 311,387/x
  3. Step 3: Cross multiply
    222,604x = 311,387 × 311,387
  4. Step 4: Simplify right side
    222,604x = 96,961,863,769
  5. Step 5: Solve for x
    x = 96,961,863,769/222,604
  6. Step 6: Final answer
    x = 435,580.06

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.