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Finding the Third Proportional to 215,240 and 323,628

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Solution

The third proportional to 215,240 and 323,628 is: 486,596.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,240 : 323,628 = 323,628 : x
  2. Step 2: Convert to fraction form
    215,240/323,628 = 323,628/x
  3. Step 3: Cross multiply
    215,240x = 323,628 × 323,628
  4. Step 4: Simplify right side
    215,240x = 104,735,082,384
  5. Step 5: Solve for x
    x = 104,735,082,384/215,240
  6. Step 6: Final answer
    x = 486,596.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.