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Finding the Third Proportional to 115,515 and 253,710

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Solution

The third proportional to 115,515 and 253,710 is: 557,232.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,515 : 253,710 = 253,710 : x
  2. Step 2: Convert to fraction form
    115,515/253,710 = 253,710/x
  3. Step 3: Cross multiply
    115,515x = 253,710 × 253,710
  4. Step 4: Simplify right side
    115,515x = 64,368,764,100
  5. Step 5: Solve for x
    x = 64,368,764,100/115,515
  6. Step 6: Final answer
    x = 557,232.95

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.