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Finding the Third Proportional to 216,138 and 465,567

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Solution

The third proportional to 216,138 and 465,567 is: 1,002,843.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,138 : 465,567 = 465,567 : x
  2. Step 2: Convert to fraction form
    216,138/465,567 = 465,567/x
  3. Step 3: Cross multiply
    216,138x = 465,567 × 465,567
  4. Step 4: Simplify right side
    216,138x = 216,752,631,489
  5. Step 5: Solve for x
    x = 216,752,631,489/216,138
  6. Step 6: Final answer
    x = 1,002,843.70

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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.