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Finding the Third Proportional to 402,885 and 877,689

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Solution

The third proportional to 402,885 and 877,689 is: 1,912,054.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,885 : 877,689 = 877,689 : x
  2. Step 2: Convert to fraction form
    402,885/877,689 = 877,689/x
  3. Step 3: Cross multiply
    402,885x = 877,689 × 877,689
  4. Step 4: Simplify right side
    402,885x = 770,337,980,721
  5. Step 5: Solve for x
    x = 770,337,980,721/402,885
  6. Step 6: Final answer
    x = 1,912,054.26

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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.