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Finding the Third Proportional to 405,102 and 886,446

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Solution

The third proportional to 405,102 and 886,446 is: 1,939,725.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,102 : 886,446 = 886,446 : x
  2. Step 2: Convert to fraction form
    405,102/886,446 = 886,446/x
  3. Step 3: Cross multiply
    405,102x = 886,446 × 886,446
  4. Step 4: Simplify right side
    405,102x = 785,786,510,916
  5. Step 5: Solve for x
    x = 785,786,510,916/405,102
  6. Step 6: Final answer
    x = 1,939,725.08

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.