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Finding the Third Proportional to 137,854 and 212,775

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Solution

The third proportional to 137,854 and 212,775 is: 328,414.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,854 : 212,775 = 212,775 : x
  2. Step 2: Convert to fraction form
    137,854/212,775 = 212,775/x
  3. Step 3: Cross multiply
    137,854x = 212,775 × 212,775
  4. Step 4: Simplify right side
    137,854x = 45,273,200,625
  5. Step 5: Solve for x
    x = 45,273,200,625/137,854
  6. Step 6: Final answer
    x = 328,414.12

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.