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Finding the Third Proportional to 8,234,456 and 18,144,208

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Solution

The third proportional to 8,234,456 and 18,144,208 is: 39,979,846.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,234,456 : 18,144,208 = 18,144,208 : x
  2. Step 2: Convert to fraction form
    8,234,456/18,144,208 = 18,144,208/x
  3. Step 3: Cross multiply
    8,234,456x = 18,144,208 × 18,144,208
  4. Step 4: Simplify right side
    8,234,456x = 329,212,283,947,264
  5. Step 5: Solve for x
    x = 329,212,283,947,264/8,234,456
  6. Step 6: Final answer
    x = 39,979,846.14

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.