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Finding the Third Proportional to 856,674 and 1,285,173

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Solution

The third proportional to 856,674 and 1,285,173 is: 1,928,002.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    856,674 : 1,285,173 = 1,285,173 : x
  2. Step 2: Convert to fraction form
    856,674/1,285,173 = 1,285,173/x
  3. Step 3: Cross multiply
    856,674x = 1,285,173 × 1,285,173
  4. Step 4: Simplify right side
    856,674x = 1,651,669,639,929
  5. Step 5: Solve for x
    x = 1,651,669,639,929/856,674
  6. Step 6: Final answer
    x = 1,928,002.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.