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Finding the Third Proportional to 216,858 and 469,917

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Solution

The third proportional to 216,858 and 469,917 is: 1,018,279.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,858 : 469,917 = 469,917 : x
  2. Step 2: Convert to fraction form
    216,858/469,917 = 469,917/x
  3. Step 3: Cross multiply
    216,858x = 469,917 × 469,917
  4. Step 4: Simplify right side
    216,858x = 220,821,986,889
  5. Step 5: Solve for x
    x = 220,821,986,889/216,858
  6. Step 6: Final answer
    x = 1,018,279.18

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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.