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Finding the Third Proportional to 211,805 and 456,154

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Solution

The third proportional to 211,805 and 456,154 is: 982,396.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,805 : 456,154 = 456,154 : x
  2. Step 2: Convert to fraction form
    211,805/456,154 = 456,154/x
  3. Step 3: Cross multiply
    211,805x = 456,154 × 456,154
  4. Step 4: Simplify right side
    211,805x = 208,076,471,716
  5. Step 5: Solve for x
    x = 208,076,471,716/211,805
  6. Step 6: Final answer
    x = 982,396.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.