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Finding the Third Proportional to 8,729,196 and 18,969,326

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Solution

The third proportional to 8,729,196 and 18,969,326 is: 41,222,047.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,729,196 : 18,969,326 = 18,969,326 : x
  2. Step 2: Convert to fraction form
    8,729,196/18,969,326 = 18,969,326/x
  3. Step 3: Cross multiply
    8,729,196x = 18,969,326 × 18,969,326
  4. Step 4: Simplify right side
    8,729,196x = 359,835,328,894,276
  5. Step 5: Solve for x
    x = 359,835,328,894,276/8,729,196
  6. Step 6: Final answer
    x = 41,222,047.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.