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Finding the Third Proportional to 116,139 and 251,285

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Solution

The third proportional to 116,139 and 251,285 is: 543,694.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,139 : 251,285 = 251,285 : x
  2. Step 2: Convert to fraction form
    116,139/251,285 = 251,285/x
  3. Step 3: Cross multiply
    116,139x = 251,285 × 251,285
  4. Step 4: Simplify right side
    116,139x = 63,144,151,225
  5. Step 5: Solve for x
    x = 63,144,151,225/116,139
  6. Step 6: Final answer
    x = 543,694.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.