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Finding the Third Proportional to 118,489 and 253,655

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Solution

The third proportional to 118,489 and 253,655 is: 543,011.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,489 : 253,655 = 253,655 : x
  2. Step 2: Convert to fraction form
    118,489/253,655 = 253,655/x
  3. Step 3: Cross multiply
    118,489x = 253,655 × 253,655
  4. Step 4: Simplify right side
    118,489x = 64,340,859,025
  5. Step 5: Solve for x
    x = 64,340,859,025/118,489
  6. Step 6: Final answer
    x = 543,011.24

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.