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Finding the Third Proportional to 65,888 and 136,384

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Solution

The third proportional to 65,888 and 136,384 is: 282,306.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,888 : 136,384 = 136,384 : x
  2. Step 2: Convert to fraction form
    65,888/136,384 = 136,384/x
  3. Step 3: Cross multiply
    65,888x = 136,384 × 136,384
  4. Step 4: Simplify right side
    65,888x = 18,600,595,456
  5. Step 5: Solve for x
    x = 18,600,595,456/65,888
  6. Step 6: Final answer
    x = 282,306.27

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.