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Finding the Third Proportional to 218,076 and 462,563

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Solution

The third proportional to 218,076 and 462,563 is: 981,146.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,076 : 462,563 = 462,563 : x
  2. Step 2: Convert to fraction form
    218,076/462,563 = 462,563/x
  3. Step 3: Cross multiply
    218,076x = 462,563 × 462,563
  4. Step 4: Simplify right side
    218,076x = 213,964,528,969
  5. Step 5: Solve for x
    x = 213,964,528,969/218,076
  6. Step 6: Final answer
    x = 981,146.61

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.