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Finding the Third Proportional to 97,874 and 215,980

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Solution

The third proportional to 97,874 and 215,980 is: 476,606.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,874 : 215,980 = 215,980 : x
  2. Step 2: Convert to fraction form
    97,874/215,980 = 215,980/x
  3. Step 3: Cross multiply
    97,874x = 215,980 × 215,980
  4. Step 4: Simplify right side
    97,874x = 46,647,360,400
  5. Step 5: Solve for x
    x = 46,647,360,400/97,874
  6. Step 6: Final answer
    x = 476,606.25

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.