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Finding the Third Proportional to 125,516 and 275,911

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Solution

The third proportional to 125,516 and 275,911 is: 606,511.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,516 : 275,911 = 275,911 : x
  2. Step 2: Convert to fraction form
    125,516/275,911 = 275,911/x
  3. Step 3: Cross multiply
    125,516x = 275,911 × 275,911
  4. Step 4: Simplify right side
    125,516x = 76,126,879,921
  5. Step 5: Solve for x
    x = 76,126,879,921/125,516
  6. Step 6: Final answer
    x = 606,511.36

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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.