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Finding the Third Proportional to 8,407,141 and 18,103,687

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Solution

The third proportional to 8,407,141 and 18,103,687 is: 38,983,940.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,407,141 : 18,103,687 = 18,103,687 : x
  2. Step 2: Convert to fraction form
    8,407,141/18,103,687 = 18,103,687/x
  3. Step 3: Cross multiply
    8,407,141x = 18,103,687 × 18,103,687
  4. Step 4: Simplify right side
    8,407,141x = 327,743,482,993,969
  5. Step 5: Solve for x
    x = 327,743,482,993,969/8,407,141
  6. Step 6: Final answer
    x = 38,983,940.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.