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Finding the Third Proportional to 401,883 and 866,864

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Solution

The third proportional to 401,883 and 866,864 is: 1,869,830.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,883 : 866,864 = 866,864 : x
  2. Step 2: Convert to fraction form
    401,883/866,864 = 866,864/x
  3. Step 3: Cross multiply
    401,883x = 866,864 × 866,864
  4. Step 4: Simplify right side
    401,883x = 751,453,194,496
  5. Step 5: Solve for x
    x = 751,453,194,496/401,883
  6. Step 6: Final answer
    x = 1,869,830.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.