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Finding the Third Proportional to 287,706 and 632,517

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Solution

The third proportional to 287,706 and 632,517 is: 1,390,578.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,706 : 632,517 = 632,517 : x
  2. Step 2: Convert to fraction form
    287,706/632,517 = 632,517/x
  3. Step 3: Cross multiply
    287,706x = 632,517 × 632,517
  4. Step 4: Simplify right side
    287,706x = 400,077,755,289
  5. Step 5: Solve for x
    x = 400,077,755,289/287,706
  6. Step 6: Final answer
    x = 1,390,578.42

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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.