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Finding the Third Proportional to 8,215,136 and 18,319,196

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Solution

The third proportional to 8,215,136 and 18,319,196 is: 40,850,564.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,215,136 : 18,319,196 = 18,319,196 : x
  2. Step 2: Convert to fraction form
    8,215,136/18,319,196 = 18,319,196/x
  3. Step 3: Cross multiply
    8,215,136x = 18,319,196 × 18,319,196
  4. Step 4: Simplify right side
    8,215,136x = 335,592,942,086,416
  5. Step 5: Solve for x
    x = 335,592,942,086,416/8,215,136
  6. Step 6: Final answer
    x = 40,850,564.38

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.