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Finding the Third Proportional to 211,840 and 464,144

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Solution

The third proportional to 211,840 and 464,144 is: 1,016,945.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,840 : 464,144 = 464,144 : x
  2. Step 2: Convert to fraction form
    211,840/464,144 = 464,144/x
  3. Step 3: Cross multiply
    211,840x = 464,144 × 464,144
  4. Step 4: Simplify right side
    211,840x = 215,429,652,736
  5. Step 5: Solve for x
    x = 215,429,652,736/211,840
  6. Step 6: Final answer
    x = 1,016,945.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.