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Finding the Third Proportional to 104,778 and 219,820

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Solution

The third proportional to 104,778 and 219,820 is: 461,173.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,778 : 219,820 = 219,820 : x
  2. Step 2: Convert to fraction form
    104,778/219,820 = 219,820/x
  3. Step 3: Cross multiply
    104,778x = 219,820 × 219,820
  4. Step 4: Simplify right side
    104,778x = 48,320,832,400
  5. Step 5: Solve for x
    x = 48,320,832,400/104,778
  6. Step 6: Final answer
    x = 461,173.46

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.