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Finding the Third Proportional to 138,265 and 219,851

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Solution

The third proportional to 138,265 and 219,851 is: 349,578.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,265 : 219,851 = 219,851 : x
  2. Step 2: Convert to fraction form
    138,265/219,851 = 219,851/x
  3. Step 3: Cross multiply
    138,265x = 219,851 × 219,851
  4. Step 4: Simplify right side
    138,265x = 48,334,462,201
  5. Step 5: Solve for x
    x = 48,334,462,201/138,265
  6. Step 6: Final answer
    x = 349,578.43

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.