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Finding the Third Proportional to 20,910 and 45,020

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Solution

The third proportional to 20,910 and 45,020 is: 96,929.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,910 : 45,020 = 45,020 : x
  2. Step 2: Convert to fraction form
    20,910/45,020 = 45,020/x
  3. Step 3: Cross multiply
    20,910x = 45,020 × 45,020
  4. Step 4: Simplify right side
    20,910x = 2,026,800,400
  5. Step 5: Solve for x
    x = 2,026,800,400/20,910
  6. Step 6: Final answer
    x = 96,929.72

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.