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Finding the Third Proportional to 131,985 and 212,504

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Solution

The third proportional to 131,985 and 212,504 is: 342,144.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,985 : 212,504 = 212,504 : x
  2. Step 2: Convert to fraction form
    131,985/212,504 = 212,504/x
  3. Step 3: Cross multiply
    131,985x = 212,504 × 212,504
  4. Step 4: Simplify right side
    131,985x = 45,157,950,016
  5. Step 5: Solve for x
    x = 45,157,950,016/131,985
  6. Step 6: Final answer
    x = 342,144.56

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.