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Finding the Third Proportional to 98,680 and 217,043

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Solution

The third proportional to 98,680 and 217,043 is: 477,378.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,680 : 217,043 = 217,043 : x
  2. Step 2: Convert to fraction form
    98,680/217,043 = 217,043/x
  3. Step 3: Cross multiply
    98,680x = 217,043 × 217,043
  4. Step 4: Simplify right side
    98,680x = 47,107,663,849
  5. Step 5: Solve for x
    x = 47,107,663,849/98,680
  6. Step 6: Final answer
    x = 477,378.03

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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.