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Finding the Third Proportional to 239,178 and 512,700

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Solution

The third proportional to 239,178 and 512,700 is: 1,099,019.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,178 : 512,700 = 512,700 : x
  2. Step 2: Convert to fraction form
    239,178/512,700 = 512,700/x
  3. Step 3: Cross multiply
    239,178x = 512,700 × 512,700
  4. Step 4: Simplify right side
    239,178x = 262,861,290,000
  5. Step 5: Solve for x
    x = 262,861,290,000/239,178
  6. Step 6: Final answer
    x = 1,099,019.52

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.