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Finding the Third Proportional to 3,210,366 and 6,686,454

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Solution

The third proportional to 3,210,366 and 6,686,454 is: 13,926,345.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,210,366 : 6,686,454 = 6,686,454 : x
  2. Step 2: Convert to fraction form
    3,210,366/6,686,454 = 6,686,454/x
  3. Step 3: Cross multiply
    3,210,366x = 6,686,454 × 6,686,454
  4. Step 4: Simplify right side
    3,210,366x = 44,708,667,094,116
  5. Step 5: Solve for x
    x = 44,708,667,094,116/3,210,366
  6. Step 6: Final answer
    x = 13,926,345.81

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.