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Finding the Third Proportional to 135,243 and 212,148

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Solution

The third proportional to 135,243 and 212,148 is: 332,784.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,243 : 212,148 = 212,148 : x
  2. Step 2: Convert to fraction form
    135,243/212,148 = 212,148/x
  3. Step 3: Cross multiply
    135,243x = 212,148 × 212,148
  4. Step 4: Simplify right side
    135,243x = 45,006,773,904
  5. Step 5: Solve for x
    x = 45,006,773,904/135,243
  6. Step 6: Final answer
    x = 332,784.50

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.