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Finding the Third Proportional to 30,824 and 40,980

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Solution

The third proportional to 30,824 and 40,980 is: 54,482.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,824 : 40,980 = 40,980 : x
  2. Step 2: Convert to fraction form
    30,824/40,980 = 40,980/x
  3. Step 3: Cross multiply
    30,824x = 40,980 × 40,980
  4. Step 4: Simplify right side
    30,824x = 1,679,360,400
  5. Step 5: Solve for x
    x = 1,679,360,400/30,824
  6. Step 6: Final answer
    x = 54,482.23

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.