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Finding the Third Proportional to 217,333 and 332,455

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Solution

The third proportional to 217,333 and 332,455 is: 508,557.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,333 : 332,455 = 332,455 : x
  2. Step 2: Convert to fraction form
    217,333/332,455 = 332,455/x
  3. Step 3: Cross multiply
    217,333x = 332,455 × 332,455
  4. Step 4: Simplify right side
    217,333x = 110,526,327,025
  5. Step 5: Solve for x
    x = 110,526,327,025/217,333
  6. Step 6: Final answer
    x = 508,557.50

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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.