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Finding the Third Proportional to 134,612 and 202,240

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Solution

The third proportional to 134,612 and 202,240 is: 303,843.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,612 : 202,240 = 202,240 : x
  2. Step 2: Convert to fraction form
    134,612/202,240 = 202,240/x
  3. Step 3: Cross multiply
    134,612x = 202,240 × 202,240
  4. Step 4: Simplify right side
    134,612x = 40,901,017,600
  5. Step 5: Solve for x
    x = 40,901,017,600/134,612
  6. Step 6: Final answer
    x = 303,843.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.