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Finding the Third Proportional to 98,709 and 217,097

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Solution

The third proportional to 98,709 and 217,097 is: 477,475.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,709 : 217,097 = 217,097 : x
  2. Step 2: Convert to fraction form
    98,709/217,097 = 217,097/x
  3. Step 3: Cross multiply
    98,709x = 217,097 × 217,097
  4. Step 4: Simplify right side
    98,709x = 47,131,107,409
  5. Step 5: Solve for x
    x = 47,131,107,409/98,709
  6. Step 6: Final answer
    x = 477,475.28

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.