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Finding the Third Proportional to 131,286 and 288,102

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Solution

The third proportional to 131,286 and 288,102 is: 632,228.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,286 : 288,102 = 288,102 : x
  2. Step 2: Convert to fraction form
    131,286/288,102 = 288,102/x
  3. Step 3: Cross multiply
    131,286x = 288,102 × 288,102
  4. Step 4: Simplify right side
    131,286x = 83,002,762,404
  5. Step 5: Solve for x
    x = 83,002,762,404/131,286
  6. Step 6: Final answer
    x = 632,228.59

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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.