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Finding the Third Proportional to 21,880 and 32,840

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Solution

The third proportional to 21,880 and 32,840 is: 49,290.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,880 : 32,840 = 32,840 : x
  2. Step 2: Convert to fraction form
    21,880/32,840 = 32,840/x
  3. Step 3: Cross multiply
    21,880x = 32,840 × 32,840
  4. Step 4: Simplify right side
    21,880x = 1,078,465,600
  5. Step 5: Solve for x
    x = 1,078,465,600/21,880
  6. Step 6: Final answer
    x = 49,290.02

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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.