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Finding the Third Proportional to 28,136 and 40,212

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Solution

The third proportional to 28,136 and 40,212 is: 57,471.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,136 : 40,212 = 40,212 : x
  2. Step 2: Convert to fraction form
    28,136/40,212 = 40,212/x
  3. Step 3: Cross multiply
    28,136x = 40,212 × 40,212
  4. Step 4: Simplify right side
    28,136x = 1,617,004,944
  5. Step 5: Solve for x
    x = 1,617,004,944/28,136
  6. Step 6: Final answer
    x = 57,471.03

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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.