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Finding the Third Proportional to 188,480 and 409,672

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Solution

The third proportional to 188,480 and 409,672 is: 890,445.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,480 : 409,672 = 409,672 : x
  2. Step 2: Convert to fraction form
    188,480/409,672 = 409,672/x
  3. Step 3: Cross multiply
    188,480x = 409,672 × 409,672
  4. Step 4: Simplify right side
    188,480x = 167,831,147,584
  5. Step 5: Solve for x
    x = 167,831,147,584/188,480
  6. Step 6: Final answer
    x = 890,445.39

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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.