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Finding the Third Proportional to 99,780 and 221,700

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Solution

The third proportional to 99,780 and 221,700 is: 492,592.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,780 : 221,700 = 221,700 : x
  2. Step 2: Convert to fraction form
    99,780/221,700 = 221,700/x
  3. Step 3: Cross multiply
    99,780x = 221,700 × 221,700
  4. Step 4: Simplify right side
    99,780x = 49,150,890,000
  5. Step 5: Solve for x
    x = 49,150,890,000/99,780
  6. Step 6: Final answer
    x = 492,592.60

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.