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Finding the Third Proportional to 131,385 and 289,014

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Solution

The third proportional to 131,385 and 289,014 is: 635,758.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,385 : 289,014 = 289,014 : x
  2. Step 2: Convert to fraction form
    131,385/289,014 = 289,014/x
  3. Step 3: Cross multiply
    131,385x = 289,014 × 289,014
  4. Step 4: Simplify right side
    131,385x = 83,529,092,196
  5. Step 5: Solve for x
    x = 83,529,092,196/131,385
  6. Step 6: Final answer
    x = 635,758.21

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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.