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Finding the Third Proportional to 287,765 and 625,936

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Solution

The third proportional to 287,765 and 625,936 is: 1,361,513.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,765 : 625,936 = 625,936 : x
  2. Step 2: Convert to fraction form
    287,765/625,936 = 625,936/x
  3. Step 3: Cross multiply
    287,765x = 625,936 × 625,936
  4. Step 4: Simplify right side
    287,765x = 391,795,876,096
  5. Step 5: Solve for x
    x = 391,795,876,096/287,765
  6. Step 6: Final answer
    x = 1,361,513.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.