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Finding the Third Proportional to 215,523 and 326,276

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Solution

The third proportional to 215,523 and 326,276 is: 493,942.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,523 : 326,276 = 326,276 : x
  2. Step 2: Convert to fraction form
    215,523/326,276 = 326,276/x
  3. Step 3: Cross multiply
    215,523x = 326,276 × 326,276
  4. Step 4: Simplify right side
    215,523x = 106,456,028,176
  5. Step 5: Solve for x
    x = 106,456,028,176/215,523
  6. Step 6: Final answer
    x = 493,942.77

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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.