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Finding the Third Proportional to 216,855 and 469,911

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Solution

The third proportional to 216,855 and 469,911 is: 1,018,267.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,855 : 469,911 = 469,911 : x
  2. Step 2: Convert to fraction form
    216,855/469,911 = 469,911/x
  3. Step 3: Cross multiply
    216,855x = 469,911 × 469,911
  4. Step 4: Simplify right side
    216,855x = 220,816,347,921
  5. Step 5: Solve for x
    x = 220,816,347,921/216,855
  6. Step 6: Final answer
    x = 1,018,267.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.