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Finding the Third Proportional to 239,013 and 520,164

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Solution

The third proportional to 239,013 and 520,164 is: 1,132,032.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,013 : 520,164 = 520,164 : x
  2. Step 2: Convert to fraction form
    239,013/520,164 = 520,164/x
  3. Step 3: Cross multiply
    239,013x = 520,164 × 520,164
  4. Step 4: Simplify right side
    239,013x = 270,570,586,896
  5. Step 5: Solve for x
    x = 270,570,586,896/239,013
  6. Step 6: Final answer
    x = 1,132,032.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.