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Finding the Third Proportional to 289,340 and 447,968

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Solution

The third proportional to 289,340 and 447,968 is: 693,562.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,340 : 447,968 = 447,968 : x
  2. Step 2: Convert to fraction form
    289,340/447,968 = 447,968/x
  3. Step 3: Cross multiply
    289,340x = 447,968 × 447,968
  4. Step 4: Simplify right side
    289,340x = 200,675,329,024
  5. Step 5: Solve for x
    x = 200,675,329,024/289,340
  6. Step 6: Final answer
    x = 693,562.35

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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.