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Finding the Third Proportional to 20,040 and 21,840

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Solution

The third proportional to 20,040 and 21,840 is: 23,801.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,040 : 21,840 = 21,840 : x
  2. Step 2: Convert to fraction form
    20,040/21,840 = 21,840/x
  3. Step 3: Cross multiply
    20,040x = 21,840 × 21,840
  4. Step 4: Simplify right side
    20,040x = 476,985,600
  5. Step 5: Solve for x
    x = 476,985,600/20,040
  6. Step 6: Final answer
    x = 23,801.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.