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Finding the Third Proportional to 180,136 and 386,512

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Solution

The third proportional to 180,136 and 386,512 is: 829,326.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,136 : 386,512 = 386,512 : x
  2. Step 2: Convert to fraction form
    180,136/386,512 = 386,512/x
  3. Step 3: Cross multiply
    180,136x = 386,512 × 386,512
  4. Step 4: Simplify right side
    180,136x = 149,391,526,144
  5. Step 5: Solve for x
    x = 149,391,526,144/180,136
  6. Step 6: Final answer
    x = 829,326.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.