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Finding the Third Proportional to 102,478 and 217,100

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Solution

The third proportional to 102,478 and 217,100 is: 459,927.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,478 : 217,100 = 217,100 : x
  2. Step 2: Convert to fraction form
    102,478/217,100 = 217,100/x
  3. Step 3: Cross multiply
    102,478x = 217,100 × 217,100
  4. Step 4: Simplify right side
    102,478x = 47,132,410,000
  5. Step 5: Solve for x
    x = 47,132,410,000/102,478
  6. Step 6: Final answer
    x = 459,927.11

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.