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Finding the Third Proportional to 239,015 and 520,168

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Solution

The third proportional to 239,015 and 520,168 is: 1,132,040.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,015 : 520,168 = 520,168 : x
  2. Step 2: Convert to fraction form
    239,015/520,168 = 520,168/x
  3. Step 3: Cross multiply
    239,015x = 520,168 × 520,168
  4. Step 4: Simplify right side
    239,015x = 270,574,748,224
  5. Step 5: Solve for x
    x = 270,574,748,224/239,015
  6. Step 6: Final answer
    x = 1,132,040.87

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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.