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Finding the Third Proportional to 132,185 and 212,789

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Solution

The third proportional to 132,185 and 212,789 is: 342,543.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,185 : 212,789 = 212,789 : x
  2. Step 2: Convert to fraction form
    132,185/212,789 = 212,789/x
  3. Step 3: Cross multiply
    132,185x = 212,789 × 212,789
  4. Step 4: Simplify right side
    132,185x = 45,279,158,521
  5. Step 5: Solve for x
    x = 45,279,158,521/132,185
  6. Step 6: Final answer
    x = 342,543.85

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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.