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Finding the Third Proportional to 188,426 and 409,575

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Solution

The third proportional to 188,426 and 409,575 is: 890,278.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,426 : 409,575 = 409,575 : x
  2. Step 2: Convert to fraction form
    188,426/409,575 = 409,575/x
  3. Step 3: Cross multiply
    188,426x = 409,575 × 409,575
  4. Step 4: Simplify right side
    188,426x = 167,751,680,625
  5. Step 5: Solve for x
    x = 167,751,680,625/188,426
  6. Step 6: Final answer
    x = 890,278.84

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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.