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Finding the Third Proportional to 452,867 and 959,680

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Solution

The third proportional to 452,867 and 959,680 is: 2,033,678.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,867 : 959,680 = 959,680 : x
  2. Step 2: Convert to fraction form
    452,867/959,680 = 959,680/x
  3. Step 3: Cross multiply
    452,867x = 959,680 × 959,680
  4. Step 4: Simplify right side
    452,867x = 920,985,702,400
  5. Step 5: Solve for x
    x = 920,985,702,400/452,867
  6. Step 6: Final answer
    x = 2,033,678.11

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.