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Finding the Third Proportional to 88,239 and 208,137

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Solution

The third proportional to 88,239 and 208,137 is: 490,950.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,239 : 208,137 = 208,137 : x
  2. Step 2: Convert to fraction form
    88,239/208,137 = 208,137/x
  3. Step 3: Cross multiply
    88,239x = 208,137 × 208,137
  4. Step 4: Simplify right side
    88,239x = 43,321,010,769
  5. Step 5: Solve for x
    x = 43,321,010,769/88,239
  6. Step 6: Final answer
    x = 490,950.84

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.