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Finding the Third Proportional to 217,956 and 333,272

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Solution

The third proportional to 217,956 and 333,272 is: 509,599.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,956 : 333,272 = 333,272 : x
  2. Step 2: Convert to fraction form
    217,956/333,272 = 333,272/x
  3. Step 3: Cross multiply
    217,956x = 333,272 × 333,272
  4. Step 4: Simplify right side
    217,956x = 111,070,225,984
  5. Step 5: Solve for x
    x = 111,070,225,984/217,956
  6. Step 6: Final answer
    x = 509,599.30

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.