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Finding the Third Proportional to 137,330 and 212,529

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Solution

The third proportional to 137,330 and 212,529 is: 328,905.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,330 : 212,529 = 212,529 : x
  2. Step 2: Convert to fraction form
    137,330/212,529 = 212,529/x
  3. Step 3: Cross multiply
    137,330x = 212,529 × 212,529
  4. Step 4: Simplify right side
    137,330x = 45,168,575,841
  5. Step 5: Solve for x
    x = 45,168,575,841/137,330
  6. Step 6: Final answer
    x = 328,905.38

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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.