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Finding the Third Proportional to 215,418 and 330,651

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Solution

The third proportional to 215,418 and 330,651 is: 507,525.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,418 : 330,651 = 330,651 : x
  2. Step 2: Convert to fraction form
    215,418/330,651 = 330,651/x
  3. Step 3: Cross multiply
    215,418x = 330,651 × 330,651
  4. Step 4: Simplify right side
    215,418x = 109,330,083,801
  5. Step 5: Solve for x
    x = 109,330,083,801/215,418
  6. Step 6: Final answer
    x = 507,525.29

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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.