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Finding the Third Proportional to 306,228 and 447,246

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Solution

The third proportional to 306,228 and 447,246 is: 653,202.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,228 : 447,246 = 447,246 : x
  2. Step 2: Convert to fraction form
    306,228/447,246 = 447,246/x
  3. Step 3: Cross multiply
    306,228x = 447,246 × 447,246
  4. Step 4: Simplify right side
    306,228x = 200,028,984,516
  5. Step 5: Solve for x
    x = 200,028,984,516/306,228
  6. Step 6: Final answer
    x = 653,202.79

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.