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Finding the Third Proportional to 116,406 and 254,135

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Solution

The third proportional to 116,406 and 254,135 is: 554,821.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,406 : 254,135 = 254,135 : x
  2. Step 2: Convert to fraction form
    116,406/254,135 = 254,135/x
  3. Step 3: Cross multiply
    116,406x = 254,135 × 254,135
  4. Step 4: Simplify right side
    116,406x = 64,584,598,225
  5. Step 5: Solve for x
    x = 64,584,598,225/116,406
  6. Step 6: Final answer
    x = 554,821.90

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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.