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Finding the Third Proportional to 3,812,447 and 8,210,686

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Solution

The third proportional to 3,812,447 and 8,210,686 is: 17,682,964.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,812,447 : 8,210,686 = 8,210,686 : x
  2. Step 2: Convert to fraction form
    3,812,447/8,210,686 = 8,210,686/x
  3. Step 3: Cross multiply
    3,812,447x = 8,210,686 × 8,210,686
  4. Step 4: Simplify right side
    3,812,447x = 67,415,364,590,596
  5. Step 5: Solve for x
    x = 67,415,364,590,596/3,812,447
  6. Step 6: Final answer
    x = 17,682,964.40

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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.