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Finding the Third Proportional to 217,010 and 331,769

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Solution

The third proportional to 217,010 and 331,769 is: 507,214.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,010 : 331,769 = 331,769 : x
  2. Step 2: Convert to fraction form
    217,010/331,769 = 331,769/x
  3. Step 3: Cross multiply
    217,010x = 331,769 × 331,769
  4. Step 4: Simplify right side
    217,010x = 110,070,669,361
  5. Step 5: Solve for x
    x = 110,070,669,361/217,010
  6. Step 6: Final answer
    x = 507,214.73

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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.