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Finding the Third Proportional to 8,211,456 and 12,005,172

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Solution

The third proportional to 8,211,456 and 12,005,172 is: 17,551,595.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,211,456 : 12,005,172 = 12,005,172 : x
  2. Step 2: Convert to fraction form
    8,211,456/12,005,172 = 12,005,172/x
  3. Step 3: Cross multiply
    8,211,456x = 12,005,172 × 12,005,172
  4. Step 4: Simplify right side
    8,211,456x = 144,124,154,749,584
  5. Step 5: Solve for x
    x = 144,124,154,749,584/8,211,456
  6. Step 6: Final answer
    x = 17,551,595.57

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.