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Finding the Third Proportional to 5,430,109 and 7,967,647

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Solution

The third proportional to 5,430,109 and 7,967,647 is: 11,690,998.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,430,109 : 7,967,647 = 7,967,647 : x
  2. Step 2: Convert to fraction form
    5,430,109/7,967,647 = 7,967,647/x
  3. Step 3: Cross multiply
    5,430,109x = 7,967,647 × 7,967,647
  4. Step 4: Simplify right side
    5,430,109x = 63,483,398,716,609
  5. Step 5: Solve for x
    x = 63,483,398,716,609/5,430,109
  6. Step 6: Final answer
    x = 11,690,998.97

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.