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Finding the Third Proportional to 287,625 and 451,221

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Solution

The third proportional to 287,625 and 451,221 is: 707,867.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,625 : 451,221 = 451,221 : x
  2. Step 2: Convert to fraction form
    287,625/451,221 = 451,221/x
  3. Step 3: Cross multiply
    287,625x = 451,221 × 451,221
  4. Step 4: Simplify right side
    287,625x = 203,600,390,841
  5. Step 5: Solve for x
    x = 203,600,390,841/287,625
  6. Step 6: Final answer
    x = 707,867.50

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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.