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Finding the Third Proportional to 403,084 and 878,744

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Solution

The third proportional to 403,084 and 878,744 is: 1,915,707.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,084 : 878,744 = 878,744 : x
  2. Step 2: Convert to fraction form
    403,084/878,744 = 878,744/x
  3. Step 3: Cross multiply
    403,084x = 878,744 × 878,744
  4. Step 4: Simplify right side
    403,084x = 772,191,017,536
  5. Step 5: Solve for x
    x = 772,191,017,536/403,084
  6. Step 6: Final answer
    x = 1,915,707.44

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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.