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Finding the Third Proportional to 20,980 and 45,416

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Solution

The third proportional to 20,980 and 45,416 is: 98,313.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,980 : 45,416 = 45,416 : x
  2. Step 2: Convert to fraction form
    20,980/45,416 = 45,416/x
  3. Step 3: Cross multiply
    20,980x = 45,416 × 45,416
  4. Step 4: Simplify right side
    20,980x = 2,062,613,056
  5. Step 5: Solve for x
    x = 2,062,613,056/20,980
  6. Step 6: Final answer
    x = 98,313.30

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.