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Finding the Third Proportional to 211,460 and 464,980

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Solution

The third proportional to 211,460 and 464,980 is: 1,022,445.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,460 : 464,980 = 464,980 : x
  2. Step 2: Convert to fraction form
    211,460/464,980 = 464,980/x
  3. Step 3: Cross multiply
    211,460x = 464,980 × 464,980
  4. Step 4: Simplify right side
    211,460x = 216,206,400,400
  5. Step 5: Solve for x
    x = 216,206,400,400/211,460
  6. Step 6: Final answer
    x = 1,022,445.85

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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.