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Finding the Third Proportional to 408,303 and 879,077

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Solution

The third proportional to 408,303 and 879,077 is: 1,892,654.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,303 : 879,077 = 879,077 : x
  2. Step 2: Convert to fraction form
    408,303/879,077 = 879,077/x
  3. Step 3: Cross multiply
    408,303x = 879,077 × 879,077
  4. Step 4: Simplify right side
    408,303x = 772,776,371,929
  5. Step 5: Solve for x
    x = 772,776,371,929/408,303
  6. Step 6: Final answer
    x = 1,892,654.16

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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.