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Finding the Third Proportional to 305,276 and 663,096

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Solution

The third proportional to 305,276 and 663,096 is: 1,440,323.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,276 : 663,096 = 663,096 : x
  2. Step 2: Convert to fraction form
    305,276/663,096 = 663,096/x
  3. Step 3: Cross multiply
    305,276x = 663,096 × 663,096
  4. Step 4: Simplify right side
    305,276x = 439,696,305,216
  5. Step 5: Solve for x
    x = 439,696,305,216/305,276
  6. Step 6: Final answer
    x = 1,440,323.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.