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Finding the Third Proportional to 8,471,002.78 and 12,725,822.67

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Solution

The third proportional to 8,471,002.78 and 12,725,822.67 is: 19,117,755.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,471,002.78 : 12,725,822.67 = 12,725,822.67 : x
  2. Step 2: Convert to fraction form
    8,471,002.78/12,725,822.67 = 12,725,822.67/x
  3. Step 3: Cross multiply
    8,471,002.78x = 12,725,822.67 × 12,725,822.67
  4. Step 4: Simplify right side
    8,471,002.78x = 161,946,562,676,007.75
  5. Step 5: Solve for x
    x = 161,946,562,676,007.75/8,471,002.78
  6. Step 6: Final answer
    x = 19,117,755.81

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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.