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Finding the Third Proportional to 100,775 and 219,973

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Solution

The third proportional to 100,775 and 219,973 is: 480,159.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,775 : 219,973 = 219,973 : x
  2. Step 2: Convert to fraction form
    100,775/219,973 = 219,973/x
  3. Step 3: Cross multiply
    100,775x = 219,973 × 219,973
  4. Step 4: Simplify right side
    100,775x = 48,388,120,729
  5. Step 5: Solve for x
    x = 48,388,120,729/100,775
  6. Step 6: Final answer
    x = 480,159.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.