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Finding the Third Proportional to 131,388 and 289,017

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Solution

The third proportional to 131,388 and 289,017 is: 635,756.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,388 : 289,017 = 289,017 : x
  2. Step 2: Convert to fraction form
    131,388/289,017 = 289,017/x
  3. Step 3: Cross multiply
    131,388x = 289,017 × 289,017
  4. Step 4: Simplify right side
    131,388x = 83,530,826,289
  5. Step 5: Solve for x
    x = 83,530,826,289/131,388
  6. Step 6: Final answer
    x = 635,756.89

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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.