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Finding the Third Proportional to 213,990 and 462,540

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Solution

The third proportional to 213,990 and 462,540 is: 999,781.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,990 : 462,540 = 462,540 : x
  2. Step 2: Convert to fraction form
    213,990/462,540 = 462,540/x
  3. Step 3: Cross multiply
    213,990x = 462,540 × 462,540
  4. Step 4: Simplify right side
    213,990x = 213,943,251,600
  5. Step 5: Solve for x
    x = 213,943,251,600/213,990
  6. Step 6: Final answer
    x = 999,781.54

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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.