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Finding the Third Proportional to 405,969 and 868,251

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Solution

The third proportional to 405,969 and 868,251 is: 1,856,939.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,969 : 868,251 = 868,251 : x
  2. Step 2: Convert to fraction form
    405,969/868,251 = 868,251/x
  3. Step 3: Cross multiply
    405,969x = 868,251 × 868,251
  4. Step 4: Simplify right side
    405,969x = 753,859,799,001
  5. Step 5: Solve for x
    x = 753,859,799,001/405,969
  6. Step 6: Final answer
    x = 1,856,939.32

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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.