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Finding the Third Proportional to 395,628 and 856,920

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Solution

The third proportional to 395,628 and 856,920 is: 1,856,066.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,628 : 856,920 = 856,920 : x
  2. Step 2: Convert to fraction form
    395,628/856,920 = 856,920/x
  3. Step 3: Cross multiply
    395,628x = 856,920 × 856,920
  4. Step 4: Simplify right side
    395,628x = 734,311,886,400
  5. Step 5: Solve for x
    x = 734,311,886,400/395,628
  6. Step 6: Final answer
    x = 1,856,066.52

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.