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Finding the Third Proportional to 104,778 and 214,398

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Solution

The third proportional to 104,778 and 214,398 is: 438,703.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,778 : 214,398 = 214,398 : x
  2. Step 2: Convert to fraction form
    104,778/214,398 = 214,398/x
  3. Step 3: Cross multiply
    104,778x = 214,398 × 214,398
  4. Step 4: Simplify right side
    104,778x = 45,966,502,404
  5. Step 5: Solve for x
    x = 45,966,502,404/104,778
  6. Step 6: Final answer
    x = 438,703.76

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.