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Finding the Third Proportional to 210,863 and 464,920

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Solution

The third proportional to 210,863 and 464,920 is: 1,025,076.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,863 : 464,920 = 464,920 : x
  2. Step 2: Convert to fraction form
    210,863/464,920 = 464,920/x
  3. Step 3: Cross multiply
    210,863x = 464,920 × 464,920
  4. Step 4: Simplify right side
    210,863x = 216,150,606,400
  5. Step 5: Solve for x
    x = 216,150,606,400/210,863
  6. Step 6: Final answer
    x = 1,025,076.03

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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.