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Finding the Third Proportional to 3,210,368 and 6,686,456

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Solution

The third proportional to 3,210,368 and 6,686,456 is: 13,926,345.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,210,368 : 6,686,456 = 6,686,456 : x
  2. Step 2: Convert to fraction form
    3,210,368/6,686,456 = 6,686,456/x
  3. Step 3: Cross multiply
    3,210,368x = 6,686,456 × 6,686,456
  4. Step 4: Simplify right side
    3,210,368x = 44,708,693,839,936
  5. Step 5: Solve for x
    x = 44,708,693,839,936/3,210,368
  6. Step 6: Final answer
    x = 13,926,345.47

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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.