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Finding the Third Proportional to 286,965 and 421,679

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Solution

The third proportional to 286,965 and 421,679 is: 619,633.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,965 : 421,679 = 421,679 : x
  2. Step 2: Convert to fraction form
    286,965/421,679 = 421,679/x
  3. Step 3: Cross multiply
    286,965x = 421,679 × 421,679
  4. Step 4: Simplify right side
    286,965x = 177,813,179,041
  5. Step 5: Solve for x
    x = 177,813,179,041/286,965
  6. Step 6: Final answer
    x = 619,633.68

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.