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Finding the Third Proportional to 99,771 and 221,683.50

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Solution

The third proportional to 99,771 and 221,683.50 is: 492,563.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,771 : 221,683.50 = 221,683.50 : x
  2. Step 2: Convert to fraction form
    99,771/221,683.50 = 221,683.50/x
  3. Step 3: Cross multiply
    99,771x = 221,683.50 × 221,683.50
  4. Step 4: Simplify right side
    99,771x = 49,143,574,172.25
  5. Step 5: Solve for x
    x = 49,143,574,172.25/99,771
  6. Step 6: Final answer
    x = 492,563.71

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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.