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Finding the Third Proportional to 289,334 and 447,960

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Solution

The third proportional to 289,334 and 447,960 is: 693,551.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,334 : 447,960 = 447,960 : x
  2. Step 2: Convert to fraction form
    289,334/447,960 = 447,960/x
  3. Step 3: Cross multiply
    289,334x = 447,960 × 447,960
  4. Step 4: Simplify right side
    289,334x = 200,668,161,600
  5. Step 5: Solve for x
    x = 200,668,161,600/289,334
  6. Step 6: Final answer
    x = 693,551.96

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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.