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Finding the Third Proportional to 287,609 and 450,186

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Solution

The third proportional to 287,609 and 450,186 is: 704,663.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,609 : 450,186 = 450,186 : x
  2. Step 2: Convert to fraction form
    287,609/450,186 = 450,186/x
  3. Step 3: Cross multiply
    287,609x = 450,186 × 450,186
  4. Step 4: Simplify right side
    287,609x = 202,667,434,596
  5. Step 5: Solve for x
    x = 202,667,434,596/287,609
  6. Step 6: Final answer
    x = 704,663.05

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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.