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Finding the Third Proportional to 188,648 and 409,454

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Solution

The third proportional to 188,648 and 409,454 is: 888,705.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,648 : 409,454 = 409,454 : x
  2. Step 2: Convert to fraction form
    188,648/409,454 = 409,454/x
  3. Step 3: Cross multiply
    188,648x = 409,454 × 409,454
  4. Step 4: Simplify right side
    188,648x = 167,652,578,116
  5. Step 5: Solve for x
    x = 167,652,578,116/188,648
  6. Step 6: Final answer
    x = 888,705.83

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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.