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Finding the Third Proportional to 8,309,580.75 and 12,431,169.75

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Solution

The third proportional to 8,309,580.75 and 12,431,169.75 is: 18,597,085.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,309,580.75 : 12,431,169.75 = 12,431,169.75 : x
  2. Step 2: Convert to fraction form
    8,309,580.75/12,431,169.75 = 12,431,169.75/x
  3. Step 3: Cross multiply
    8,309,580.75x = 12,431,169.75 × 12,431,169.75
  4. Step 4: Simplify right side
    8,309,580.75x = 154,533,981,353,315.06
  5. Step 5: Solve for x
    x = 154,533,981,353,315.06/8,309,580.75
  6. Step 6: Final answer
    x = 18,597,085.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.