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Finding the Third Proportional to 208,172 and 491,253

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Solution

The third proportional to 208,172 and 491,253 is: 1,159,279.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,172 : 491,253 = 491,253 : x
  2. Step 2: Convert to fraction form
    208,172/491,253 = 491,253/x
  3. Step 3: Cross multiply
    208,172x = 491,253 × 491,253
  4. Step 4: Simplify right side
    208,172x = 241,329,510,009
  5. Step 5: Solve for x
    x = 241,329,510,009/208,172
  6. Step 6: Final answer
    x = 1,159,279.39

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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.