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Finding the Third Proportional to 211,729 and 464,930

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Solution

The third proportional to 211,729 and 464,930 is: 1,020,927.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,729 : 464,930 = 464,930 : x
  2. Step 2: Convert to fraction form
    211,729/464,930 = 464,930/x
  3. Step 3: Cross multiply
    211,729x = 464,930 × 464,930
  4. Step 4: Simplify right side
    211,729x = 216,159,904,900
  5. Step 5: Solve for x
    x = 216,159,904,900/211,729
  6. Step 6: Final answer
    x = 1,020,927.25

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.