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Finding the Third Proportional to 213,809 and 461,518

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Solution

The third proportional to 213,809 and 461,518 is: 996,210.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,809 : 461,518 = 461,518 : x
  2. Step 2: Convert to fraction form
    213,809/461,518 = 461,518/x
  3. Step 3: Cross multiply
    213,809x = 461,518 × 461,518
  4. Step 4: Simplify right side
    213,809x = 212,998,864,324
  5. Step 5: Solve for x
    x = 212,998,864,324/213,809
  6. Step 6: Final answer
    x = 996,210.94

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.