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Finding the Third Proportional to 239,812.52 and 512,857.20

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Solution

The third proportional to 239,812.52 and 512,857.20 is: 1,096,783.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,812.52 : 512,857.20 = 512,857.20 : x
  2. Step 2: Convert to fraction form
    239,812.52/512,857.20 = 512,857.20/x
  3. Step 3: Cross multiply
    239,812.52x = 512,857.20 × 512,857.20
  4. Step 4: Simplify right side
    239,812.52x = 263,022,502,783.80
  5. Step 5: Solve for x
    x = 263,022,502,783.80/239,812.52
  6. Step 6: Final answer
    x = 1,096,783.85

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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.