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Finding the Third Proportional to 408,780 and 879,714

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Solution

The third proportional to 408,780 and 879,714 is: 1,893,186.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,780 : 879,714 = 879,714 : x
  2. Step 2: Convert to fraction form
    408,780/879,714 = 879,714/x
  3. Step 3: Cross multiply
    408,780x = 879,714 × 879,714
  4. Step 4: Simplify right side
    408,780x = 773,896,721,796
  5. Step 5: Solve for x
    x = 773,896,721,796/408,780
  6. Step 6: Final answer
    x = 1,893,186.36

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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.