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Finding the Third Proportional to 21,069 and 24,714

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Solution

The third proportional to 21,069 and 24,714 is: 28,989.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,069 : 24,714 = 24,714 : x
  2. Step 2: Convert to fraction form
    21,069/24,714 = 24,714/x
  3. Step 3: Cross multiply
    21,069x = 24,714 × 24,714
  4. Step 4: Simplify right side
    21,069x = 610,781,796
  5. Step 5: Solve for x
    x = 610,781,796/21,069
  6. Step 6: Final answer
    x = 28,989.60

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.