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Finding the Third Proportional to 287,926 and 451,625

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Solution

The third proportional to 287,926 and 451,625 is: 708,394.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,926 : 451,625 = 451,625 : x
  2. Step 2: Convert to fraction form
    287,926/451,625 = 451,625/x
  3. Step 3: Cross multiply
    287,926x = 451,625 × 451,625
  4. Step 4: Simplify right side
    287,926x = 203,965,140,625
  5. Step 5: Solve for x
    x = 203,965,140,625/287,926
  6. Step 6: Final answer
    x = 708,394.31

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.