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Finding the Third Proportional to 134,800 and 204,056

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Solution

The third proportional to 134,800 and 204,056 is: 308,893.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,800 : 204,056 = 204,056 : x
  2. Step 2: Convert to fraction form
    134,800/204,056 = 204,056/x
  3. Step 3: Cross multiply
    134,800x = 204,056 × 204,056
  4. Step 4: Simplify right side
    134,800x = 41,638,851,136
  5. Step 5: Solve for x
    x = 41,638,851,136/134,800
  6. Step 6: Final answer
    x = 308,893.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.