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Finding the Third Proportional to 208,158 and 491,223

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Solution

The third proportional to 208,158 and 491,223 is: 1,159,215.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,158 : 491,223 = 491,223 : x
  2. Step 2: Convert to fraction form
    208,158/491,223 = 491,223/x
  3. Step 3: Cross multiply
    208,158x = 491,223 × 491,223
  4. Step 4: Simplify right side
    208,158x = 241,300,035,729
  5. Step 5: Solve for x
    x = 241,300,035,729/208,158
  6. Step 6: Final answer
    x = 1,159,215.77

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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.