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Finding the Third Proportional to 188,692 and 256,397

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Solution

The third proportional to 188,692 and 256,397 is: 348,395.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,692 : 256,397 = 256,397 : x
  2. Step 2: Convert to fraction form
    188,692/256,397 = 256,397/x
  3. Step 3: Cross multiply
    188,692x = 256,397 × 256,397
  4. Step 4: Simplify right side
    188,692x = 65,739,421,609
  5. Step 5: Solve for x
    x = 65,739,421,609/188,692
  6. Step 6: Final answer
    x = 348,395.38

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.