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Finding the Third Proportional to 32,546 and 48,819

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Solution

The third proportional to 32,546 and 48,819 is: 73,228.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,546 : 48,819 = 48,819 : x
  2. Step 2: Convert to fraction form
    32,546/48,819 = 48,819/x
  3. Step 3: Cross multiply
    32,546x = 48,819 × 48,819
  4. Step 4: Simplify right side
    32,546x = 2,383,294,761
  5. Step 5: Solve for x
    x = 2,383,294,761/32,546
  6. Step 6: Final answer
    x = 73,228.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.