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Finding the Third Proportional to 215,416 and 330,648

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Solution

The third proportional to 215,416 and 330,648 is: 507,520.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,416 : 330,648 = 330,648 : x
  2. Step 2: Convert to fraction form
    215,416/330,648 = 330,648/x
  3. Step 3: Cross multiply
    215,416x = 330,648 × 330,648
  4. Step 4: Simplify right side
    215,416x = 109,328,099,904
  5. Step 5: Solve for x
    x = 109,328,099,904/215,416
  6. Step 6: Final answer
    x = 507,520.80

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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.