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Finding the Third Proportional to 45,890 and 100,820

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Solution

The third proportional to 45,890 and 100,820 is: 221,500.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,890 : 100,820 = 100,820 : x
  2. Step 2: Convert to fraction form
    45,890/100,820 = 100,820/x
  3. Step 3: Cross multiply
    45,890x = 100,820 × 100,820
  4. Step 4: Simplify right side
    45,890x = 10,164,672,400
  5. Step 5: Solve for x
    x = 10,164,672,400/45,890
  6. Step 6: Final answer
    x = 221,500.81

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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.