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Finding the Third Proportional to 217,013 and 331,773

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Solution

The third proportional to 217,013 and 331,773 is: 507,219.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,013 : 331,773 = 331,773 : x
  2. Step 2: Convert to fraction form
    217,013/331,773 = 331,773/x
  3. Step 3: Cross multiply
    217,013x = 331,773 × 331,773
  4. Step 4: Simplify right side
    217,013x = 110,073,323,529
  5. Step 5: Solve for x
    x = 110,073,323,529/217,013
  6. Step 6: Final answer
    x = 507,219.95

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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.