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Finding the Third Proportional to 8,400,834 and 12,678,219

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Solution

The third proportional to 8,400,834 and 12,678,219 is: 19,133,485.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,400,834 : 12,678,219 = 12,678,219 : x
  2. Step 2: Convert to fraction form
    8,400,834/12,678,219 = 12,678,219/x
  3. Step 3: Cross multiply
    8,400,834x = 12,678,219 × 12,678,219
  4. Step 4: Simplify right side
    8,400,834x = 160,737,237,011,961
  5. Step 5: Solve for x
    x = 160,737,237,011,961/8,400,834
  6. Step 6: Final answer
    x = 19,133,485.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.