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Finding the Third Proportional to 216,115 and 465,520

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Solution

The third proportional to 216,115 and 465,520 is: 1,002,747.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,115 : 465,520 = 465,520 : x
  2. Step 2: Convert to fraction form
    216,115/465,520 = 465,520/x
  3. Step 3: Cross multiply
    216,115x = 465,520 × 465,520
  4. Step 4: Simplify right side
    216,115x = 216,708,870,400
  5. Step 5: Solve for x
    x = 216,708,870,400/216,115
  6. Step 6: Final answer
    x = 1,002,747.94

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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.