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Finding the Third Proportional to 215,323 and 330,517

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Solution

The third proportional to 215,323 and 330,517 is: 507,337.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,323 : 330,517 = 330,517 : x
  2. Step 2: Convert to fraction form
    215,323/330,517 = 330,517/x
  3. Step 3: Cross multiply
    215,323x = 330,517 × 330,517
  4. Step 4: Simplify right side
    215,323x = 109,241,487,289
  5. Step 5: Solve for x
    x = 109,241,487,289/215,323
  6. Step 6: Final answer
    x = 507,337.75

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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.