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Finding the Third Proportional to 9,873.77 and 21,137.20

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Solution

The third proportional to 9,873.77 and 21,137.20 is: 45,249.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,873.77 : 21,137.20 = 21,137.20 : x
  2. Step 2: Convert to fraction form
    9,873.77/21,137.20 = 21,137.20/x
  3. Step 3: Cross multiply
    9,873.77x = 21,137.20 × 21,137.20
  4. Step 4: Simplify right side
    9,873.77x = 446,781,355.95
  5. Step 5: Solve for x
    x = 446,781,355.95/9,873.77
  6. Step 6: Final answer
    x = 45,249.30

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.