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Finding the Third Proportional to 216,209 and 465,634

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Solution

The third proportional to 216,209 and 465,634 is: 1,002,802.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,209 : 465,634 = 465,634 : x
  2. Step 2: Convert to fraction form
    216,209/465,634 = 465,634/x
  3. Step 3: Cross multiply
    216,209x = 465,634 × 465,634
  4. Step 4: Simplify right side
    216,209x = 216,815,021,956
  5. Step 5: Solve for x
    x = 216,815,021,956/216,209
  6. Step 6: Final answer
    x = 1,002,802.95

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.