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Finding the Third Proportional to 102,861 and 218,358

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Solution

The third proportional to 102,861 and 218,358 is: 463,540.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,861 : 218,358 = 218,358 : x
  2. Step 2: Convert to fraction form
    102,861/218,358 = 218,358/x
  3. Step 3: Cross multiply
    102,861x = 218,358 × 218,358
  4. Step 4: Simplify right side
    102,861x = 47,680,216,164
  5. Step 5: Solve for x
    x = 47,680,216,164/102,861
  6. Step 6: Final answer
    x = 463,540.27

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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.