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Finding the Third Proportional to 625,754 and 1,280,668

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Solution

The third proportional to 625,754 and 1,280,668 is: 2,621,014.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    625,754 : 1,280,668 = 1,280,668 : x
  2. Step 2: Convert to fraction form
    625,754/1,280,668 = 1,280,668/x
  3. Step 3: Cross multiply
    625,754x = 1,280,668 × 1,280,668
  4. Step 4: Simplify right side
    625,754x = 1,640,110,526,224
  5. Step 5: Solve for x
    x = 1,640,110,526,224/625,754
  6. Step 6: Final answer
    x = 2,621,014.85

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.