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Finding the Third Proportional to 408,051 and 612,077

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Solution

The third proportional to 408,051 and 612,077 is: 918,116.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,051 : 612,077 = 612,077 : x
  2. Step 2: Convert to fraction form
    408,051/612,077 = 612,077/x
  3. Step 3: Cross multiply
    408,051x = 612,077 × 612,077
  4. Step 4: Simplify right side
    408,051x = 374,638,253,929
  5. Step 5: Solve for x
    x = 374,638,253,929/408,051
  6. Step 6: Final answer
    x = 918,116.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.