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Finding the Third Proportional to 215,329 and 330,526

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Solution

The third proportional to 215,329 and 330,526 is: 507,351.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,329 : 330,526 = 330,526 : x
  2. Step 2: Convert to fraction form
    215,329/330,526 = 330,526/x
  3. Step 3: Cross multiply
    215,329x = 330,526 × 330,526
  4. Step 4: Simplify right side
    215,329x = 109,247,436,676
  5. Step 5: Solve for x
    x = 109,247,436,676/215,329
  6. Step 6: Final answer
    x = 507,351.25

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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.