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Finding the Third Proportional to 103,478 and 223,280

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Solution

The third proportional to 103,478 and 223,280 is: 481,783.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,478 : 223,280 = 223,280 : x
  2. Step 2: Convert to fraction form
    103,478/223,280 = 223,280/x
  3. Step 3: Cross multiply
    103,478x = 223,280 × 223,280
  4. Step 4: Simplify right side
    103,478x = 49,853,958,400
  5. Step 5: Solve for x
    x = 49,853,958,400/103,478
  6. Step 6: Final answer
    x = 481,783.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.