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Finding the Third Proportional to 97,800 and 213,120

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Solution

The third proportional to 97,800 and 213,120 is: 464,418.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,800 : 213,120 = 213,120 : x
  2. Step 2: Convert to fraction form
    97,800/213,120 = 213,120/x
  3. Step 3: Cross multiply
    97,800x = 213,120 × 213,120
  4. Step 4: Simplify right side
    97,800x = 45,420,134,400
  5. Step 5: Solve for x
    x = 45,420,134,400/97,800
  6. Step 6: Final answer
    x = 464,418.55

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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.