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Finding the Third Proportional to 8,972,703 and 19,459,782

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Solution

The third proportional to 8,972,703 and 19,459,782 is: 42,203,906.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,972,703 : 19,459,782 = 19,459,782 : x
  2. Step 2: Convert to fraction form
    8,972,703/19,459,782 = 19,459,782/x
  3. Step 3: Cross multiply
    8,972,703x = 19,459,782 × 19,459,782
  4. Step 4: Simplify right side
    8,972,703x = 378,683,115,487,524
  5. Step 5: Solve for x
    x = 378,683,115,487,524/8,972,703
  6. Step 6: Final answer
    x = 42,203,906.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.