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Finding the Third Proportional to 405,080 and 886,399

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Solution

The third proportional to 405,080 and 886,399 is: 1,939,624.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,080 : 886,399 = 886,399 : x
  2. Step 2: Convert to fraction form
    405,080/886,399 = 886,399/x
  3. Step 3: Cross multiply
    405,080x = 886,399 × 886,399
  4. Step 4: Simplify right side
    405,080x = 785,703,187,201
  5. Step 5: Solve for x
    x = 785,703,187,201/405,080
  6. Step 6: Final answer
    x = 1,939,624.73

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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.