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Finding the Third Proportional to 8,419,983 and 12,310,310

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Solution

The third proportional to 8,419,983 and 12,310,310 is: 17,998,104.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,419,983 : 12,310,310 = 12,310,310 : x
  2. Step 2: Convert to fraction form
    8,419,983/12,310,310 = 12,310,310/x
  3. Step 3: Cross multiply
    8,419,983x = 12,310,310 × 12,310,310
  4. Step 4: Simplify right side
    8,419,983x = 151,543,732,296,100
  5. Step 5: Solve for x
    x = 151,543,732,296,100/8,419,983
  6. Step 6: Final answer
    x = 17,998,104.31

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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.