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Finding the Third Proportional to 401,344 and 869,940

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Solution

The third proportional to 401,344 and 869,940 is: 1,885,653.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,344 : 869,940 = 869,940 : x
  2. Step 2: Convert to fraction form
    401,344/869,940 = 869,940/x
  3. Step 3: Cross multiply
    401,344x = 869,940 × 869,940
  4. Step 4: Simplify right side
    401,344x = 756,795,603,600
  5. Step 5: Solve for x
    x = 756,795,603,600/401,344
  6. Step 6: Final answer
    x = 1,885,653.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.