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Finding the Third Proportional to 287,636 and 450,233

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Solution

The third proportional to 287,636 and 450,233 is: 704,744.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,636 : 450,233 = 450,233 : x
  2. Step 2: Convert to fraction form
    287,636/450,233 = 450,233/x
  3. Step 3: Cross multiply
    287,636x = 450,233 × 450,233
  4. Step 4: Simplify right side
    287,636x = 202,709,754,289
  5. Step 5: Solve for x
    x = 202,709,754,289/287,636
  6. Step 6: Final answer
    x = 704,744.03

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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.