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Finding the Third Proportional to 287,633 and 450,228

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Solution

The third proportional to 287,633 and 450,228 is: 704,735.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,633 : 450,228 = 450,228 : x
  2. Step 2: Convert to fraction form
    287,633/450,228 = 450,228/x
  3. Step 3: Cross multiply
    287,633x = 450,228 × 450,228
  4. Step 4: Simplify right side
    287,633x = 202,705,251,984
  5. Step 5: Solve for x
    x = 202,705,251,984/287,633
  6. Step 6: Final answer
    x = 704,735.73

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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.