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Finding the Third Proportional to 239,655 and 520,049

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Solution

The third proportional to 239,655 and 520,049 is: 1,128,501.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,655 : 520,049 = 520,049 : x
  2. Step 2: Convert to fraction form
    239,655/520,049 = 520,049/x
  3. Step 3: Cross multiply
    239,655x = 520,049 × 520,049
  4. Step 4: Simplify right side
    239,655x = 270,450,962,401
  5. Step 5: Solve for x
    x = 270,450,962,401/239,655
  6. Step 6: Final answer
    x = 1,128,501.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.