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Finding the Third Proportional to 203,910 and 292,128

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Solution

The third proportional to 203,910 and 292,128 is: 418,511.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,910 : 292,128 = 292,128 : x
  2. Step 2: Convert to fraction form
    203,910/292,128 = 292,128/x
  3. Step 3: Cross multiply
    203,910x = 292,128 × 292,128
  4. Step 4: Simplify right side
    203,910x = 85,338,768,384
  5. Step 5: Solve for x
    x = 85,338,768,384/203,910
  6. Step 6: Final answer
    x = 418,511.93

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.