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Finding the Third Proportional to 97,872 and 215,976

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Solution

The third proportional to 97,872 and 215,976 is: 476,598.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,872 : 215,976 = 215,976 : x
  2. Step 2: Convert to fraction form
    97,872/215,976 = 215,976/x
  3. Step 3: Cross multiply
    97,872x = 215,976 × 215,976
  4. Step 4: Simplify right side
    97,872x = 46,645,632,576
  5. Step 5: Solve for x
    x = 46,645,632,576/97,872
  6. Step 6: Final answer
    x = 476,598.34

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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.