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Finding the Third Proportional to 239,899.50 and 513,018

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Solution

The third proportional to 239,899.50 and 513,018 is: 1,097,073.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,899.50 : 513,018 = 513,018 : x
  2. Step 2: Convert to fraction form
    239,899.50/513,018 = 513,018/x
  3. Step 3: Cross multiply
    239,899.50x = 513,018 × 513,018
  4. Step 4: Simplify right side
    239,899.50x = 263,187,468,324
  5. Step 5: Solve for x
    x = 263,187,468,324/239,899.50
  6. Step 6: Final answer
    x = 1,097,073.85

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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.