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Finding the Third Proportional to 403,419 and 877,809

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Solution

The third proportional to 403,419 and 877,809 is: 1,910,045.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,419 : 877,809 = 877,809 : x
  2. Step 2: Convert to fraction form
    403,419/877,809 = 877,809/x
  3. Step 3: Cross multiply
    403,419x = 877,809 × 877,809
  4. Step 4: Simplify right side
    403,419x = 770,548,640,481
  5. Step 5: Solve for x
    x = 770,548,640,481/403,419
  6. Step 6: Final answer
    x = 1,910,045.49

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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.