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Finding the Third Proportional to 3,138,565 and 6,653,821

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Solution

The third proportional to 3,138,565 and 6,653,821 is: 14,106,234.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,138,565 : 6,653,821 = 6,653,821 : x
  2. Step 2: Convert to fraction form
    3,138,565/6,653,821 = 6,653,821/x
  3. Step 3: Cross multiply
    3,138,565x = 6,653,821 × 6,653,821
  4. Step 4: Simplify right side
    3,138,565x = 44,273,333,900,041
  5. Step 5: Solve for x
    x = 44,273,333,900,041/3,138,565
  6. Step 6: Final answer
    x = 14,106,234.51

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.