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Finding the Third Proportional to 64,286 and 138,436

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Solution

The third proportional to 64,286 and 138,436 is: 298,113.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,286 : 138,436 = 138,436 : x
  2. Step 2: Convert to fraction form
    64,286/138,436 = 138,436/x
  3. Step 3: Cross multiply
    64,286x = 138,436 × 138,436
  4. Step 4: Simplify right side
    64,286x = 19,164,526,096
  5. Step 5: Solve for x
    x = 19,164,526,096/64,286
  6. Step 6: Final answer
    x = 298,113.53

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.