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Finding the Third Proportional to 8,419,984 and 12,310,311.50

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Solution

The third proportional to 8,419,984 and 12,310,311.50 is: 17,998,106.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,419,984 : 12,310,311.50 = 12,310,311.50 : x
  2. Step 2: Convert to fraction form
    8,419,984/12,310,311.50 = 12,310,311.50/x
  3. Step 3: Cross multiply
    8,419,984x = 12,310,311.50 × 12,310,311.50
  4. Step 4: Simplify right side
    8,419,984x = 151,543,769,227,032.25
  5. Step 5: Solve for x
    x = 151,543,769,227,032.25/8,419,984
  6. Step 6: Final answer
    x = 17,998,106.56

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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.