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Finding the Third Proportional to 131,405 and 288,244

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Solution

The third proportional to 131,405 and 288,244 is: 632,278.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,405 : 288,244 = 288,244 : x
  2. Step 2: Convert to fraction form
    131,405/288,244 = 288,244/x
  3. Step 3: Cross multiply
    131,405x = 288,244 × 288,244
  4. Step 4: Simplify right side
    131,405x = 83,084,603,536
  5. Step 5: Solve for x
    x = 83,084,603,536/131,405
  6. Step 6: Final answer
    x = 632,278.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.