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Finding the Third Proportional to 65,286 and 136,248

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Solution

The third proportional to 65,286 and 136,248 is: 284,341.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,286 : 136,248 = 136,248 : x
  2. Step 2: Convert to fraction form
    65,286/136,248 = 136,248/x
  3. Step 3: Cross multiply
    65,286x = 136,248 × 136,248
  4. Step 4: Simplify right side
    65,286x = 18,563,517,504
  5. Step 5: Solve for x
    x = 18,563,517,504/65,286
  6. Step 6: Final answer
    x = 284,341.47

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.