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Finding the Third Proportional to 20,810 and 45,322

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Solution

The third proportional to 20,810 and 45,322 is: 98,706.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,810 : 45,322 = 45,322 : x
  2. Step 2: Convert to fraction form
    20,810/45,322 = 45,322/x
  3. Step 3: Cross multiply
    20,810x = 45,322 × 45,322
  4. Step 4: Simplify right side
    20,810x = 2,054,083,684
  5. Step 5: Solve for x
    x = 2,054,083,684/20,810
  6. Step 6: Final answer
    x = 98,706.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.