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Finding the Third Proportional to 287,771 and 632,647

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Solution

The third proportional to 287,771 and 632,647 is: 1,390,835.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,771 : 632,647 = 632,647 : x
  2. Step 2: Convert to fraction form
    287,771/632,647 = 632,647/x
  3. Step 3: Cross multiply
    287,771x = 632,647 × 632,647
  4. Step 4: Simplify right side
    287,771x = 400,242,226,609
  5. Step 5: Solve for x
    x = 400,242,226,609/287,771
  6. Step 6: Final answer
    x = 1,390,835.86

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.