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Finding the Third Proportional to 133,569 and 212,989.50

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Solution

The third proportional to 133,569 and 212,989.50 is: 339,633.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,569 : 212,989.50 = 212,989.50 : x
  2. Step 2: Convert to fraction form
    133,569/212,989.50 = 212,989.50/x
  3. Step 3: Cross multiply
    133,569x = 212,989.50 × 212,989.50
  4. Step 4: Simplify right side
    133,569x = 45,364,527,110.25
  5. Step 5: Solve for x
    x = 45,364,527,110.25/133,569
  6. Step 6: Final answer
    x = 339,633.65

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.