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Finding the Third Proportional to 407,194 and 877,498

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Solution

The third proportional to 407,194 and 877,498 is: 1,890,997.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,194 : 877,498 = 877,498 : x
  2. Step 2: Convert to fraction form
    407,194/877,498 = 877,498/x
  3. Step 3: Cross multiply
    407,194x = 877,498 × 877,498
  4. Step 4: Simplify right side
    407,194x = 770,002,740,004
  5. Step 5: Solve for x
    x = 770,002,740,004/407,194
  6. Step 6: Final answer
    x = 1,890,997.26

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.