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Finding the Third Proportional to 287,641 and 450,241

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Solution

The third proportional to 287,641 and 450,241 is: 704,756.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,641 : 450,241 = 450,241 : x
  2. Step 2: Convert to fraction form
    287,641/450,241 = 450,241/x
  3. Step 3: Cross multiply
    287,641x = 450,241 × 450,241
  4. Step 4: Simplify right side
    287,641x = 202,716,958,081
  5. Step 5: Solve for x
    x = 202,716,958,081/287,641
  6. Step 6: Final answer
    x = 704,756.83

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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.