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Finding the Third Proportional to 515,227.50 and 757,917

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Solution

The third proportional to 515,227.50 and 757,917 is: 1,114,921.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,227.50 : 757,917 = 757,917 : x
  2. Step 2: Convert to fraction form
    515,227.50/757,917 = 757,917/x
  3. Step 3: Cross multiply
    515,227.50x = 757,917 × 757,917
  4. Step 4: Simplify right side
    515,227.50x = 574,438,178,889
  5. Step 5: Solve for x
    x = 574,438,178,889/515,227.50
  6. Step 6: Final answer
    x = 1,114,921.43

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.