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Finding the Third Proportional to 512,857.50 and 1,116,021

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Solution

The third proportional to 512,857.50 and 1,116,021 is: 2,428,555.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,857.50 : 1,116,021 = 1,116,021 : x
  2. Step 2: Convert to fraction form
    512,857.50/1,116,021 = 1,116,021/x
  3. Step 3: Cross multiply
    512,857.50x = 1,116,021 × 1,116,021
  4. Step 4: Simplify right side
    512,857.50x = 1,245,502,872,441
  5. Step 5: Solve for x
    x = 1,245,502,872,441/512,857.50
  6. Step 6: Final answer
    x = 2,428,555.44

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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.