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Finding the Third Proportional to 137,326 and 212,524

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Solution

The third proportional to 137,326 and 212,524 is: 328,899.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,326 : 212,524 = 212,524 : x
  2. Step 2: Convert to fraction form
    137,326/212,524 = 212,524/x
  3. Step 3: Cross multiply
    137,326x = 212,524 × 212,524
  4. Step 4: Simplify right side
    137,326x = 45,166,450,576
  5. Step 5: Solve for x
    x = 45,166,450,576/137,326
  6. Step 6: Final answer
    x = 328,899.48

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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.