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Finding the Third Proportional to 215,322 and 330,516

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Solution

The third proportional to 215,322 and 330,516 is: 507,337.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,322 : 330,516 = 330,516 : x
  2. Step 2: Convert to fraction form
    215,322/330,516 = 330,516/x
  3. Step 3: Cross multiply
    215,322x = 330,516 × 330,516
  4. Step 4: Simplify right side
    215,322x = 109,240,826,256
  5. Step 5: Solve for x
    x = 109,240,826,256/215,322
  6. Step 6: Final answer
    x = 507,337.04

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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.