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Finding the Third Proportional to 188,461 and 409,642

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Solution

The third proportional to 188,461 and 409,642 is: 890,404.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,461 : 409,642 = 409,642 : x
  2. Step 2: Convert to fraction form
    188,461/409,642 = 409,642/x
  3. Step 3: Cross multiply
    188,461x = 409,642 × 409,642
  4. Step 4: Simplify right side
    188,461x = 167,806,568,164
  5. Step 5: Solve for x
    x = 167,806,568,164/188,461
  6. Step 6: Final answer
    x = 890,404.74

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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.