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Finding the Third Proportional to 3,915,464.06 and 8,430,744.94

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Solution

The third proportional to 3,915,464.06 and 8,430,744.94 is: 18,153,010.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,915,464.06 : 8,430,744.94 = 8,430,744.94 : x
  2. Step 2: Convert to fraction form
    3,915,464.06/8,430,744.94 = 8,430,744.94/x
  3. Step 3: Cross multiply
    3,915,464.06x = 8,430,744.94 × 8,430,744.94
  4. Step 4: Simplify right side
    3,915,464.06x = 71,077,460,201,181.88
  5. Step 5: Solve for x
    x = 71,077,460,201,181.88/3,915,464.06
  6. Step 6: Final answer
    x = 18,153,010.49

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.