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Finding the Third Proportional to 20,511 and 45,031.50

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Solution

The third proportional to 20,511 and 45,031.50 is: 98,865.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,511 : 45,031.50 = 45,031.50 : x
  2. Step 2: Convert to fraction form
    20,511/45,031.50 = 45,031.50/x
  3. Step 3: Cross multiply
    20,511x = 45,031.50 × 45,031.50
  4. Step 4: Simplify right side
    20,511x = 2,027,835,992.25
  5. Step 5: Solve for x
    x = 2,027,835,992.25/20,511
  6. Step 6: Final answer
    x = 98,865.78

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.