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Finding the Third Proportional to 188,419 and 409,562

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Solution

The third proportional to 188,419 and 409,562 is: 890,255.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,419 : 409,562 = 409,562 : x
  2. Step 2: Convert to fraction form
    188,419/409,562 = 409,562/x
  3. Step 3: Cross multiply
    188,419x = 409,562 × 409,562
  4. Step 4: Simplify right side
    188,419x = 167,741,031,844
  5. Step 5: Solve for x
    x = 167,741,031,844/188,419
  6. Step 6: Final answer
    x = 890,255.40

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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.