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Finding the Third Proportional to 115,068 and 251,655

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Solution

The third proportional to 115,068 and 251,655 is: 550,372.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,068 : 251,655 = 251,655 : x
  2. Step 2: Convert to fraction form
    115,068/251,655 = 251,655/x
  3. Step 3: Cross multiply
    115,068x = 251,655 × 251,655
  4. Step 4: Simplify right side
    115,068x = 63,330,239,025
  5. Step 5: Solve for x
    x = 63,330,239,025/115,068
  6. Step 6: Final answer
    x = 550,372.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.