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Finding the Third Proportional to 397,126 and 865,652

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Solution

The third proportional to 397,126 and 865,652 is: 1,886,941.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,126 : 865,652 = 865,652 : x
  2. Step 2: Convert to fraction form
    397,126/865,652 = 865,652/x
  3. Step 3: Cross multiply
    397,126x = 865,652 × 865,652
  4. Step 4: Simplify right side
    397,126x = 749,353,385,104
  5. Step 5: Solve for x
    x = 749,353,385,104/397,126
  6. Step 6: Final answer
    x = 1,886,941.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.