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Finding the Third Proportional to 135,210 and 212,095

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Solution

The third proportional to 135,210 and 212,095 is: 332,699.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,210 : 212,095 = 212,095 : x
  2. Step 2: Convert to fraction form
    135,210/212,095 = 212,095/x
  3. Step 3: Cross multiply
    135,210x = 212,095 × 212,095
  4. Step 4: Simplify right side
    135,210x = 44,984,289,025
  5. Step 5: Solve for x
    x = 44,984,289,025/135,210
  6. Step 6: Final answer
    x = 332,699.42

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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.