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Finding the Third Proportional to 132,136 and 204,035

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Solution

The third proportional to 132,136 and 204,035 is: 315,056.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,136 : 204,035 = 204,035 : x
  2. Step 2: Convert to fraction form
    132,136/204,035 = 204,035/x
  3. Step 3: Cross multiply
    132,136x = 204,035 × 204,035
  4. Step 4: Simplify right side
    132,136x = 41,630,281,225
  5. Step 5: Solve for x
    x = 41,630,281,225/132,136
  6. Step 6: Final answer
    x = 315,056.31

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.