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Finding the Third Proportional to 287,165 and 632,218

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Solution

The third proportional to 287,165 and 632,218 is: 1,391,881.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,165 : 632,218 = 632,218 : x
  2. Step 2: Convert to fraction form
    287,165/632,218 = 632,218/x
  3. Step 3: Cross multiply
    287,165x = 632,218 × 632,218
  4. Step 4: Simplify right side
    287,165x = 399,699,599,524
  5. Step 5: Solve for x
    x = 399,699,599,524/287,165
  6. Step 6: Final answer
    x = 1,391,881.32

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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.