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Finding the Third Proportional to 6,216,998 and 13,378,778

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Solution

The third proportional to 6,216,998 and 13,378,778 is: 28,790,696.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,216,998 : 13,378,778 = 13,378,778 : x
  2. Step 2: Convert to fraction form
    6,216,998/13,378,778 = 13,378,778/x
  3. Step 3: Cross multiply
    6,216,998x = 13,378,778 × 13,378,778
  4. Step 4: Simplify right side
    6,216,998x = 178,991,700,773,284
  5. Step 5: Solve for x
    x = 178,991,700,773,284/6,216,998
  6. Step 6: Final answer
    x = 28,790,696.21

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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.