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Finding the Third Proportional to 103,430 and 223,420

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Solution

The third proportional to 103,430 and 223,420 is: 482,611.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,430 : 223,420 = 223,420 : x
  2. Step 2: Convert to fraction form
    103,430/223,420 = 223,420/x
  3. Step 3: Cross multiply
    103,430x = 223,420 × 223,420
  4. Step 4: Simplify right side
    103,430x = 49,916,496,400
  5. Step 5: Solve for x
    x = 49,916,496,400/103,430
  6. Step 6: Final answer
    x = 482,611.39

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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.