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Finding the Third Proportional to 8,430,297.75 and 19,894,278.38

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Solution

The third proportional to 8,430,297.75 and 19,894,278.38 is: 46,947,607.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,430,297.75 : 19,894,278.38 = 19,894,278.38 : x
  2. Step 2: Convert to fraction form
    8,430,297.75/19,894,278.38 = 19,894,278.38/x
  3. Step 3: Cross multiply
    8,430,297.75x = 19,894,278.38 × 19,894,278.38
  4. Step 4: Simplify right side
    8,430,297.75x = 395,782,312,061,992.62
  5. Step 5: Solve for x
    x = 395,782,312,061,992.62/8,430,297.75
  6. Step 6: Final answer
    x = 46,947,607.76

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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.