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Finding the Third Proportional to 30,780 and 43,956

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Solution

The third proportional to 30,780 and 43,956 is: 62,772.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,780 : 43,956 = 43,956 : x
  2. Step 2: Convert to fraction form
    30,780/43,956 = 43,956/x
  3. Step 3: Cross multiply
    30,780x = 43,956 × 43,956
  4. Step 4: Simplify right side
    30,780x = 1,932,129,936
  5. Step 5: Solve for x
    x = 1,932,129,936/30,780
  6. Step 6: Final answer
    x = 62,772.25

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.