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Finding the Third Proportional to 28,005.75 and 43,709.63

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Solution

The third proportional to 28,005.75 and 43,709.63 is: 68,219.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,005.75 : 43,709.63 = 43,709.63 : x
  2. Step 2: Convert to fraction form
    28,005.75/43,709.63 = 43,709.63/x
  3. Step 3: Cross multiply
    28,005.75x = 43,709.63 × 43,709.63
  4. Step 4: Simplify right side
    28,005.75x = 1,910,531,317.64
  5. Step 5: Solve for x
    x = 1,910,531,317.64/28,005.75
  6. Step 6: Final answer
    x = 68,219.25

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.