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Finding the Third Proportional to 287,631 and 450,225

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Solution

The third proportional to 287,631 and 450,225 is: 704,731.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,631 : 450,225 = 450,225 : x
  2. Step 2: Convert to fraction form
    287,631/450,225 = 450,225/x
  3. Step 3: Cross multiply
    287,631x = 450,225 × 450,225
  4. Step 4: Simplify right side
    287,631x = 202,702,550,625
  5. Step 5: Solve for x
    x = 202,702,550,625/287,631
  6. Step 6: Final answer
    x = 704,731.24

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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.