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Finding the Third Proportional to 408,072 and 883,904

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Solution

The third proportional to 408,072 and 883,904 is: 1,914,579.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,072 : 883,904 = 883,904 : x
  2. Step 2: Convert to fraction form
    408,072/883,904 = 883,904/x
  3. Step 3: Cross multiply
    408,072x = 883,904 × 883,904
  4. Step 4: Simplify right side
    408,072x = 781,286,281,216
  5. Step 5: Solve for x
    x = 781,286,281,216/408,072
  6. Step 6: Final answer
    x = 1,914,579.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.