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Finding the Third Proportional to 115,154 and 251,200

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Solution

The third proportional to 115,154 and 251,200 is: 547,974.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,154 : 251,200 = 251,200 : x
  2. Step 2: Convert to fraction form
    115,154/251,200 = 251,200/x
  3. Step 3: Cross multiply
    115,154x = 251,200 × 251,200
  4. Step 4: Simplify right side
    115,154x = 63,101,440,000
  5. Step 5: Solve for x
    x = 63,101,440,000/115,154
  6. Step 6: Final answer
    x = 547,974.36

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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.