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Finding the Third Proportional to 8,409,562 and 18,446,900

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Solution

The third proportional to 8,409,562 and 18,446,900 is: 40,464,428.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,409,562 : 18,446,900 = 18,446,900 : x
  2. Step 2: Convert to fraction form
    8,409,562/18,446,900 = 18,446,900/x
  3. Step 3: Cross multiply
    8,409,562x = 18,446,900 × 18,446,900
  4. Step 4: Simplify right side
    8,409,562x = 340,288,119,610,000
  5. Step 5: Solve for x
    x = 340,288,119,610,000/8,409,562
  6. Step 6: Final answer
    x = 40,464,428.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.