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Finding the Third Proportional to 405,820 and 867,920

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Solution

The third proportional to 405,820 and 867,920 is: 1,856,205.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,820 : 867,920 = 867,920 : x
  2. Step 2: Convert to fraction form
    405,820/867,920 = 867,920/x
  3. Step 3: Cross multiply
    405,820x = 867,920 × 867,920
  4. Step 4: Simplify right side
    405,820x = 753,285,126,400
  5. Step 5: Solve for x
    x = 753,285,126,400/405,820
  6. Step 6: Final answer
    x = 1,856,205.03

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.