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Finding the Third Proportional to 115,518 and 251,772

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Solution

The third proportional to 115,518 and 251,772 is: 548,738.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,518 : 251,772 = 251,772 : x
  2. Step 2: Convert to fraction form
    115,518/251,772 = 251,772/x
  3. Step 3: Cross multiply
    115,518x = 251,772 × 251,772
  4. Step 4: Simplify right side
    115,518x = 63,389,139,984
  5. Step 5: Solve for x
    x = 63,389,139,984/115,518
  6. Step 6: Final answer
    x = 548,738.21

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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.