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Finding the Third Proportional to 408,888 and 879,984

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Solution

The third proportional to 408,888 and 879,984 is: 1,893,848.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,888 : 879,984 = 879,984 : x
  2. Step 2: Convert to fraction form
    408,888/879,984 = 879,984/x
  3. Step 3: Cross multiply
    408,888x = 879,984 × 879,984
  4. Step 4: Simplify right side
    408,888x = 774,371,840,256
  5. Step 5: Solve for x
    x = 774,371,840,256/408,888
  6. Step 6: Final answer
    x = 1,893,848.29

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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.