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Finding the Third Proportional to 136,136 and 204,352

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Solution

The third proportional to 136,136 and 204,352 is: 306,750.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,136 : 204,352 = 204,352 : x
  2. Step 2: Convert to fraction form
    136,136/204,352 = 204,352/x
  3. Step 3: Cross multiply
    136,136x = 204,352 × 204,352
  4. Step 4: Simplify right side
    136,136x = 41,759,739,904
  5. Step 5: Solve for x
    x = 41,759,739,904/136,136
  6. Step 6: Final answer
    x = 306,750.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.