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Finding the Third Proportional to 40,220 and 56,912

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Solution

The third proportional to 40,220 and 56,912 is: 80,531.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,220 : 56,912 = 56,912 : x
  2. Step 2: Convert to fraction form
    40,220/56,912 = 56,912/x
  3. Step 3: Cross multiply
    40,220x = 56,912 × 56,912
  4. Step 4: Simplify right side
    40,220x = 3,238,975,744
  5. Step 5: Solve for x
    x = 3,238,975,744/40,220
  6. Step 6: Final answer
    x = 80,531.47

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.