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Finding the Third Proportional to 289,416 and 447,246

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Solution

The third proportional to 289,416 and 447,246 is: 691,146.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,416 : 447,246 = 447,246 : x
  2. Step 2: Convert to fraction form
    289,416/447,246 = 447,246/x
  3. Step 3: Cross multiply
    289,416x = 447,246 × 447,246
  4. Step 4: Simplify right side
    289,416x = 200,028,984,516
  5. Step 5: Solve for x
    x = 200,028,984,516/289,416
  6. Step 6: Final answer
    x = 691,146.95

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.