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Finding the Third Proportional to 6,821,806 and 14,778,878

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Solution

The third proportional to 6,821,806 and 14,778,878 is: 32,017,215.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,821,806 : 14,778,878 = 14,778,878 : x
  2. Step 2: Convert to fraction form
    6,821,806/14,778,878 = 14,778,878/x
  3. Step 3: Cross multiply
    6,821,806x = 14,778,878 × 14,778,878
  4. Step 4: Simplify right side
    6,821,806x = 218,415,234,938,884
  5. Step 5: Solve for x
    x = 218,415,234,938,884/6,821,806
  6. Step 6: Final answer
    x = 32,017,215.81

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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.