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Finding the Third Proportional to 99,561 and 214,970

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Solution

The third proportional to 99,561 and 214,970 is: 464,158.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,561 : 214,970 = 214,970 : x
  2. Step 2: Convert to fraction form
    99,561/214,970 = 214,970/x
  3. Step 3: Cross multiply
    99,561x = 214,970 × 214,970
  4. Step 4: Simplify right side
    99,561x = 46,212,100,900
  5. Step 5: Solve for x
    x = 46,212,100,900/99,561
  6. Step 6: Final answer
    x = 464,158.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.