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Finding the Third Proportional to 137,729 and 212,822

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Solution

The third proportional to 137,729 and 212,822 is: 328,857.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,729 : 212,822 = 212,822 : x
  2. Step 2: Convert to fraction form
    137,729/212,822 = 212,822/x
  3. Step 3: Cross multiply
    137,729x = 212,822 × 212,822
  4. Step 4: Simplify right side
    137,729x = 45,293,203,684
  5. Step 5: Solve for x
    x = 45,293,203,684/137,729
  6. Step 6: Final answer
    x = 328,857.42

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.