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Finding the Third Proportional to 188,797 and 399,465

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Solution

The third proportional to 188,797 and 399,465 is: 845,205.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,797 : 399,465 = 399,465 : x
  2. Step 2: Convert to fraction form
    188,797/399,465 = 399,465/x
  3. Step 3: Cross multiply
    188,797x = 399,465 × 399,465
  4. Step 4: Simplify right side
    188,797x = 159,572,286,225
  5. Step 5: Solve for x
    x = 159,572,286,225/188,797
  6. Step 6: Final answer
    x = 845,205.62

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.