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Finding the Third Proportional to 287,646 and 450,249

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Solution

The third proportional to 287,646 and 450,249 is: 704,769.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,646 : 450,249 = 450,249 : x
  2. Step 2: Convert to fraction form
    287,646/450,249 = 450,249/x
  3. Step 3: Cross multiply
    287,646x = 450,249 × 450,249
  4. Step 4: Simplify right side
    287,646x = 202,724,162,001
  5. Step 5: Solve for x
    x = 202,724,162,001/287,646
  6. Step 6: Final answer
    x = 704,769.62

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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.