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Finding the Third Proportional to 405,972 and 868,257

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Solution

The third proportional to 405,972 and 868,257 is: 1,856,951.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,972 : 868,257 = 868,257 : x
  2. Step 2: Convert to fraction form
    405,972/868,257 = 868,257/x
  3. Step 3: Cross multiply
    405,972x = 868,257 × 868,257
  4. Step 4: Simplify right side
    405,972x = 753,870,218,049
  5. Step 5: Solve for x
    x = 753,870,218,049/405,972
  6. Step 6: Final answer
    x = 1,856,951.26

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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.