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Finding the Third Proportional to 102,336 and 208,833

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Solution

The third proportional to 102,336 and 208,833 is: 426,157.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,336 : 208,833 = 208,833 : x
  2. Step 2: Convert to fraction form
    102,336/208,833 = 208,833/x
  3. Step 3: Cross multiply
    102,336x = 208,833 × 208,833
  4. Step 4: Simplify right side
    102,336x = 43,611,221,889
  5. Step 5: Solve for x
    x = 43,611,221,889/102,336
  6. Step 6: Final answer
    x = 426,157.19

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.