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Finding the Third Proportional to 8,430,355 and 19,894,379

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Solution

The third proportional to 8,430,355 and 19,894,379 is: 46,947,763.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,430,355 : 19,894,379 = 19,894,379 : x
  2. Step 2: Convert to fraction form
    8,430,355/19,894,379 = 19,894,379/x
  3. Step 3: Cross multiply
    8,430,355x = 19,894,379 × 19,894,379
  4. Step 4: Simplify right side
    8,430,355x = 395,786,315,795,641
  5. Step 5: Solve for x
    x = 395,786,315,795,641/8,430,355
  6. Step 6: Final answer
    x = 46,947,763.86

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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.