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Finding the Third Proportional to 12,422,980.13 and 18,970,789.78

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Solution

The third proportional to 12,422,980.13 and 18,970,789.78 is: 28,969,769.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,422,980.13 : 18,970,789.78 = 18,970,789.78 : x
  2. Step 2: Convert to fraction form
    12,422,980.13/18,970,789.78 = 18,970,789.78/x
  3. Step 3: Cross multiply
    12,422,980.13x = 18,970,789.78 × 18,970,789.78
  4. Step 4: Simplify right side
    12,422,980.13x = 359,890,864,924,379.44
  5. Step 5: Solve for x
    x = 359,890,864,924,379.44/12,422,980.13
  6. Step 6: Final answer
    x = 28,969,769.03

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.