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Finding the Third Proportional to 408,786 and 879,726

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Solution

The third proportional to 408,786 and 879,726 is: 1,893,210.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,786 : 879,726 = 879,726 : x
  2. Step 2: Convert to fraction form
    408,786/879,726 = 879,726/x
  3. Step 3: Cross multiply
    408,786x = 879,726 × 879,726
  4. Step 4: Simplify right side
    408,786x = 773,917,835,076
  5. Step 5: Solve for x
    x = 773,917,835,076/408,786
  6. Step 6: Final answer
    x = 1,893,210.23

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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.