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Finding the Third Proportional to 405,921 and 868,164

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Solution

The third proportional to 405,921 and 868,164 is: 1,856,786.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,921 : 868,164 = 868,164 : x
  2. Step 2: Convert to fraction form
    405,921/868,164 = 868,164/x
  3. Step 3: Cross multiply
    405,921x = 868,164 × 868,164
  4. Step 4: Simplify right side
    405,921x = 753,708,730,896
  5. Step 5: Solve for x
    x = 753,708,730,896/405,921
  6. Step 6: Final answer
    x = 1,856,786.74

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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.