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Finding the Third Proportional to 289,515 and 447,396

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Solution

The third proportional to 289,515 and 447,396 is: 691,374.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,515 : 447,396 = 447,396 : x
  2. Step 2: Convert to fraction form
    289,515/447,396 = 447,396/x
  3. Step 3: Cross multiply
    289,515x = 447,396 × 447,396
  4. Step 4: Simplify right side
    289,515x = 200,163,180,816
  5. Step 5: Solve for x
    x = 200,163,180,816/289,515
  6. Step 6: Final answer
    x = 691,374.13

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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.