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Finding the Third Proportional to 103,300 and 223,988

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Solution

The third proportional to 103,300 and 223,988 is: 485,678.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,300 : 223,988 = 223,988 : x
  2. Step 2: Convert to fraction form
    103,300/223,988 = 223,988/x
  3. Step 3: Cross multiply
    103,300x = 223,988 × 223,988
  4. Step 4: Simplify right side
    103,300x = 50,170,624,144
  5. Step 5: Solve for x
    x = 50,170,624,144/103,300
  6. Step 6: Final answer
    x = 485,678.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.