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Finding the Third Proportional to 287,637 and 450,234

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Solution

The third proportional to 287,637 and 450,234 is: 704,744.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,637 : 450,234 = 450,234 : x
  2. Step 2: Convert to fraction form
    287,637/450,234 = 450,234/x
  3. Step 3: Cross multiply
    287,637x = 450,234 × 450,234
  4. Step 4: Simplify right side
    287,637x = 202,710,654,756
  5. Step 5: Solve for x
    x = 202,710,654,756/287,637
  6. Step 6: Final answer
    x = 704,744.71

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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.